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Finding the Fourth Proportional to 47,070.60, 70,624.38 and 20,757

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Solution

The fourth proportional to 47,070.60, 70,624.38 and 20,757 is: 31,143.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,070.60 : 70,624.38 = 20,757 : x
  2. Step 2: Convert to fraction form
    47,070.60/70,624.38 = 20,757/x
  3. Step 3: Cross multiply
    47,070.60x = 70,624.38 × 20,757
  4. Step 4: Simplify right side
    47,070.60x = 1,465,950,255.66
  5. Step 5: Solve for x
    x = 1,465,950,255.66/47,070.60
  6. Step 6: Final answer
    x = 31,143.65

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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.