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Finding the Fourth Proportional to 101,514, 152,278.20 and 31,384.20

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Solution

The fourth proportional to 101,514, 152,278.20 and 31,384.20 is: 47,078.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,514 : 152,278.20 = 31,384.20 : x
  2. Step 2: Convert to fraction form
    101,514/152,278.20 = 31,384.20/x
  3. Step 3: Cross multiply
    101,514x = 152,278.20 × 31,384.20
  4. Step 4: Simplify right side
    101,514x = 4,779,129,484.44
  5. Step 5: Solve for x
    x = 4,779,129,484.44/101,514
  6. Step 6: Final answer
    x = 47,078.53

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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.