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Finding the Fourth Proportional to 137,801.30, 206,748.05 and 53,564.27

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Solution

The fourth proportional to 137,801.30, 206,748.05 and 53,564.27 is: 80,364.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,801.30 : 206,748.05 = 53,564.27 : x
  2. Step 2: Convert to fraction form
    137,801.30/206,748.05 = 53,564.27/x
  3. Step 3: Cross multiply
    137,801.30x = 206,748.05 × 53,564.27
  4. Step 4: Simplify right side
    137,801.30x = 11,074,307,070.61
  5. Step 5: Solve for x
    x = 11,074,307,070.61/137,801.30
  6. Step 6: Final answer
    x = 80,364.32

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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.