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Finding the Fourth Proportional to 137,459.60, 206,070.56 and 61,500

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Solution

The fourth proportional to 137,459.60, 206,070.56 and 61,500 is: 92,196.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,459.60 : 206,070.56 = 61,500 : x
  2. Step 2: Convert to fraction form
    137,459.60/206,070.56 = 61,500/x
  3. Step 3: Cross multiply
    137,459.60x = 206,070.56 × 61,500
  4. Step 4: Simplify right side
    137,459.60x = 12,673,339,440
  5. Step 5: Solve for x
    x = 12,673,339,440/137,459.60
  6. Step 6: Final answer
    x = 92,196.83

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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.