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Finding the Fourth Proportional to 191,461.78, 287,194.09 and 71,545.83

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Solution

The fourth proportional to 191,461.78, 287,194.09 and 71,545.83 is: 107,319.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,461.78 : 287,194.09 = 71,545.83 : x
  2. Step 2: Convert to fraction form
    191,461.78/287,194.09 = 71,545.83/x
  3. Step 3: Cross multiply
    191,461.78x = 287,194.09 × 71,545.83
  4. Step 4: Simplify right side
    191,461.78x = 20,547,540,706.55
  5. Step 5: Solve for x
    x = 20,547,540,706.55/191,461.78
  6. Step 6: Final answer
    x = 107,319.28

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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.