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Finding the Fourth Proportional to 76,698,216.80, 114,949,347.60 and 31,208,616.80

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Solution

The fourth proportional to 76,698,216.80, 114,949,347.60 and 31,208,616.80 is: 46,773,057.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,698,216.80 : 114,949,347.60 = 31,208,616.80 : x
  2. Step 2: Convert to fraction form
    76,698,216.80/114,949,347.60 = 31,208,616.80/x
  3. Step 3: Cross multiply
    76,698,216.80x = 114,949,347.60 × 31,208,616.80
  4. Step 4: Simplify right side
    76,698,216.80x = 3,587,410,140,658,399.50
  5. Step 5: Solve for x
    x = 3,587,410,140,658,399.50/76,698,216.80
  6. Step 6: Final answer
    x = 46,773,057.97

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.