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Finding the Fourth Proportional to 102,646.47, 141,788.13 and 82,578.93

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Solution

The fourth proportional to 102,646.47, 141,788.13 and 82,578.93 is: 114,068.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,646.47 : 141,788.13 = 82,578.93 : x
  2. Step 2: Convert to fraction form
    102,646.47/141,788.13 = 82,578.93/x
  3. Step 3: Cross multiply
    102,646.47x = 141,788.13 × 82,578.93
  4. Step 4: Simplify right side
    102,646.47x = 11,708,712,062.10
  5. Step 5: Solve for x
    x = 11,708,712,062.10/102,646.47
  6. Step 6: Final answer
    x = 114,068.34

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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.