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Finding the Fourth Proportional to 76,807.68, 115,210.38 and 46,830.74

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Solution

The fourth proportional to 76,807.68, 115,210.38 and 46,830.74 is: 70,245.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,807.68 : 115,210.38 = 46,830.74 : x
  2. Step 2: Convert to fraction form
    76,807.68/115,210.38 = 46,830.74/x
  3. Step 3: Cross multiply
    76,807.68x = 115,210.38 × 46,830.74
  4. Step 4: Simplify right side
    76,807.68x = 5,395,387,351.08
  5. Step 5: Solve for x
    x = 5,395,387,351.08/76,807.68
  6. Step 6: Final answer
    x = 70,245.41

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1.5x scale

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.