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Finding the Fourth Proportional to 78,182.81, 107,929.47 and 52,385.79

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Solution

The fourth proportional to 78,182.81, 107,929.47 and 52,385.79 is: 72,317.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,182.81 : 107,929.47 = 52,385.79 : x
  2. Step 2: Convert to fraction form
    78,182.81/107,929.47 = 52,385.79/x
  3. Step 3: Cross multiply
    78,182.81x = 107,929.47 × 52,385.79
  4. Step 4: Simplify right side
    78,182.81x = 5,653,970,550.23
  5. Step 5: Solve for x
    x = 5,653,970,550.23/78,182.81
  6. Step 6: Final answer
    x = 72,317.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.