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Finding the Fourth Proportional to 103,515.92, 155,239.84 and 32,438.40

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Solution

The fourth proportional to 103,515.92, 155,239.84 and 32,438.40 is: 48,646.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,515.92 : 155,239.84 = 32,438.40 : x
  2. Step 2: Convert to fraction form
    103,515.92/155,239.84 = 32,438.40/x
  3. Step 3: Cross multiply
    103,515.92x = 155,239.84 × 32,438.40
  4. Step 4: Simplify right side
    103,515.92x = 5,035,732,025.86
  5. Step 5: Solve for x
    x = 5,035,732,025.86/103,515.92
  6. Step 6: Final answer
    x = 48,646.93

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1.5x scale

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.