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Finding the Fourth Proportional to 70,650.64, 105,715.68 and 42,587.20

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Solution

The fourth proportional to 70,650.64, 105,715.68 and 42,587.20 is: 63,723.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,650.64 : 105,715.68 = 42,587.20 : x
  2. Step 2: Convert to fraction form
    70,650.64/105,715.68 = 42,587.20/x
  3. Step 3: Cross multiply
    70,650.64x = 105,715.68 × 42,587.20
  4. Step 4: Simplify right side
    70,650.64x = 4,502,134,807.30
  5. Step 5: Solve for x
    x = 4,502,134,807.30/70,650.64
  6. Step 6: Final answer
    x = 63,723.91

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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.