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Finding the Fourth Proportional to 103,472.90, 155,209.35 and 41,143.40

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Solution

The fourth proportional to 103,472.90, 155,209.35 and 41,143.40 is: 61,715.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,472.90 : 155,209.35 = 41,143.40 : x
  2. Step 2: Convert to fraction form
    103,472.90/155,209.35 = 41,143.40/x
  3. Step 3: Cross multiply
    103,472.90x = 155,209.35 × 41,143.40
  4. Step 4: Simplify right side
    103,472.90x = 6,385,840,370.79
  5. Step 5: Solve for x
    x = 6,385,840,370.79/103,472.90
  6. Step 6: Final answer
    x = 61,715.10

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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.