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Finding the Fourth Proportional to 137,964, 206,772.87 and 58,985.40

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Solution

The fourth proportional to 137,964, 206,772.87 and 58,985.40 is: 88,404.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,964 : 206,772.87 = 58,985.40 : x
  2. Step 2: Convert to fraction form
    137,964/206,772.87 = 58,985.40/x
  3. Step 3: Cross multiply
    137,964x = 206,772.87 × 58,985.40
  4. Step 4: Simplify right side
    137,964x = 12,196,580,446.10
  5. Step 5: Solve for x
    x = 12,196,580,446.10/137,964
  6. Step 6: Final answer
    x = 88,404.08

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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.