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Finding the Fourth Proportional to 140,006.66, 209,966.24 and 61,099.70

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Solution

The fourth proportional to 140,006.66, 209,966.24 and 61,099.70 is: 91,630.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,006.66 : 209,966.24 = 61,099.70 : x
  2. Step 2: Convert to fraction form
    140,006.66/209,966.24 = 61,099.70/x
  3. Step 3: Cross multiply
    140,006.66x = 209,966.24 × 61,099.70
  4. Step 4: Simplify right side
    140,006.66x = 12,828,874,274.13
  5. Step 5: Solve for x
    x = 12,828,874,274.13/140,006.66
  6. Step 6: Final answer
    x = 91,630.46

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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.