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Finding the Fourth Proportional to 103,471.76, 142,722.44 and 71,162.32

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Solution

The fourth proportional to 103,471.76, 142,722.44 and 71,162.32 is: 98,156.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,471.76 : 142,722.44 = 71,162.32 : x
  2. Step 2: Convert to fraction form
    103,471.76/142,722.44 = 71,162.32/x
  3. Step 3: Cross multiply
    103,471.76x = 142,722.44 × 71,162.32
  4. Step 4: Simplify right side
    103,471.76x = 10,156,459,946.46
  5. Step 5: Solve for x
    x = 10,156,459,946.46/103,471.76
  6. Step 6: Final answer
    x = 98,156.83

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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.