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Finding the Fourth Proportional to 100,307.70, 150,462.36 and 81,565.92

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Solution

The fourth proportional to 100,307.70, 150,462.36 and 81,565.92 is: 122,349.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,307.70 : 150,462.36 = 81,565.92 : x
  2. Step 2: Convert to fraction form
    100,307.70/150,462.36 = 81,565.92/x
  3. Step 3: Cross multiply
    100,307.70x = 150,462.36 × 81,565.92
  4. Step 4: Simplify right side
    100,307.70x = 12,272,600,818.77
  5. Step 5: Solve for x
    x = 12,272,600,818.77/100,307.70
  6. Step 6: Final answer
    x = 122,349.54

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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.