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Finding the Fourth Proportional to 103,520.04, 142,902 and 71,299.86

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Solution

The fourth proportional to 103,520.04, 142,902 and 71,299.86 is: 98,424.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,520.04 : 142,902 = 71,299.86 : x
  2. Step 2: Convert to fraction form
    103,520.04/142,902 = 71,299.86/x
  3. Step 3: Cross multiply
    103,520.04x = 142,902 × 71,299.86
  4. Step 4: Simplify right side
    103,520.04x = 10,188,892,593.72
  5. Step 5: Solve for x
    x = 10,188,892,593.72/103,520.04
  6. Step 6: Final answer
    x = 98,424.35

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.