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Finding the Fourth Proportional to 151,705, 227,557.50 and 40,897

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Solution

The fourth proportional to 151,705, 227,557.50 and 40,897 is: 61,345.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,705 : 227,557.50 = 40,897 : x
  2. Step 2: Convert to fraction form
    151,705/227,557.50 = 40,897/x
  3. Step 3: Cross multiply
    151,705x = 227,557.50 × 40,897
  4. Step 4: Simplify right side
    151,705x = 9,306,419,077.50
  5. Step 5: Solve for x
    x = 9,306,419,077.50/151,705
  6. Step 6: Final answer
    x = 61,345.50

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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.