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Finding the Fourth Proportional to 105,916.68, 158,930.40 and 42,752.52

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Solution

The fourth proportional to 105,916.68, 158,930.40 and 42,752.52 is: 64,151.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,916.68 : 158,930.40 = 42,752.52 : x
  2. Step 2: Convert to fraction form
    105,916.68/158,930.40 = 42,752.52/x
  3. Step 3: Cross multiply
    105,916.68x = 158,930.40 × 42,752.52
  4. Step 4: Simplify right side
    105,916.68x = 6,794,675,104.61
  5. Step 5: Solve for x
    x = 6,794,675,104.61/105,916.68
  6. Step 6: Final answer
    x = 64,151.13

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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.