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Finding the Fourth Proportional to 121,798.74, 182,442.96 and 77,402.64

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Solution

The fourth proportional to 121,798.74, 182,442.96 and 77,402.64 is: 115,941.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,798.74 : 182,442.96 = 77,402.64 : x
  2. Step 2: Convert to fraction form
    121,798.74/182,442.96 = 77,402.64/x
  3. Step 3: Cross multiply
    121,798.74x = 182,442.96 × 77,402.64
  4. Step 4: Simplify right side
    121,798.74x = 14,121,566,753.41
  5. Step 5: Solve for x
    x = 14,121,566,753.41/121,798.74
  6. Step 6: Final answer
    x = 115,941.81

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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.