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Finding the Fourth Proportional to 70,830.64, 97,747.52 and 38,998.86

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Solution

The fourth proportional to 70,830.64, 97,747.52 and 38,998.86 is: 53,819.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,830.64 : 97,747.52 = 38,998.86 : x
  2. Step 2: Convert to fraction form
    70,830.64/97,747.52 = 38,998.86/x
  3. Step 3: Cross multiply
    70,830.64x = 97,747.52 × 38,998.86
  4. Step 4: Simplify right side
    70,830.64x = 3,812,041,847.83
  5. Step 5: Solve for x
    x = 3,812,041,847.83/70,830.64
  6. Step 6: Final answer
    x = 53,819.11

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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.