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Finding the Fourth Proportional to 76,160.61, 105,098.21 and 42,166.71

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Solution

The fourth proportional to 76,160.61, 105,098.21 and 42,166.71 is: 58,188.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,160.61 : 105,098.21 = 42,166.71 : x
  2. Step 2: Convert to fraction form
    76,160.61/105,098.21 = 42,166.71/x
  3. Step 3: Cross multiply
    76,160.61x = 105,098.21 × 42,166.71
  4. Step 4: Simplify right side
    76,160.61x = 4,431,645,006.26
  5. Step 5: Solve for x
    x = 4,431,645,006.26/76,160.61
  6. Step 6: Final answer
    x = 58,188.15

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1.5x scale

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.