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Finding the Fourth Proportional to 102,462, 141,397.56 and 57,750

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Solution

The fourth proportional to 102,462, 141,397.56 and 57,750 is: 79,695

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,462 : 141,397.56 = 57,750 : x
  2. Step 2: Convert to fraction form
    102,462/141,397.56 = 57,750/x
  3. Step 3: Cross multiply
    102,462x = 141,397.56 × 57,750
  4. Step 4: Simplify right side
    102,462x = 8,165,709,090
  5. Step 5: Solve for x
    x = 8,165,709,090/102,462
  6. Step 6: Final answer
    x = 79,695

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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.