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Finding the Fourth Proportional to 137,897.60, 206,948.80 and 54,851.20

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Solution

The fourth proportional to 137,897.60, 206,948.80 and 54,851.20 is: 82,317.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,897.60 : 206,948.80 = 54,851.20 : x
  2. Step 2: Convert to fraction form
    137,897.60/206,948.80 = 54,851.20/x
  3. Step 3: Cross multiply
    137,897.60x = 206,948.80 × 54,851.20
  4. Step 4: Simplify right side
    137,897.60x = 11,351,390,018.56
  5. Step 5: Solve for x
    x = 11,351,390,018.56/137,897.60
  6. Step 6: Final answer
    x = 82,317.53

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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.