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Finding the Fourth Proportional to 78,287.68, 117,140.16 and 46,714.56

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Solution

The fourth proportional to 78,287.68, 117,140.16 and 46,714.56 is: 69,897.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,287.68 : 117,140.16 = 46,714.56 : x
  2. Step 2: Convert to fraction form
    78,287.68/117,140.16 = 46,714.56/x
  3. Step 3: Cross multiply
    78,287.68x = 117,140.16 × 46,714.56
  4. Step 4: Simplify right side
    78,287.68x = 5,472,151,032.73
  5. Step 5: Solve for x
    x = 5,472,151,032.73/78,287.68
  6. Step 6: Final answer
    x = 69,897.98

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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.