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Finding the Fourth Proportional to 76,509.77, 114,412.34 and 72,777.29

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Solution

The fourth proportional to 76,509.77, 114,412.34 and 72,777.29 is: 108,830.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,509.77 : 114,412.34 = 72,777.29 : x
  2. Step 2: Convert to fraction form
    76,509.77/114,412.34 = 72,777.29/x
  3. Step 3: Cross multiply
    76,509.77x = 114,412.34 × 72,777.29
  4. Step 4: Simplify right side
    76,509.77x = 8,326,619,683.87
  5. Step 5: Solve for x
    x = 8,326,619,683.87/76,509.77
  6. Step 6: Final answer
    x = 108,830.80

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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.