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Finding the Fourth Proportional to 47,286.64, 70,841.40 and 42,418

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Solution

The fourth proportional to 47,286.64, 70,841.40 and 42,418 is: 63,547.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,286.64 : 70,841.40 = 42,418 : x
  2. Step 2: Convert to fraction form
    47,286.64/70,841.40 = 42,418/x
  3. Step 3: Cross multiply
    47,286.64x = 70,841.40 × 42,418
  4. Step 4: Simplify right side
    47,286.64x = 3,004,950,505.20
  5. Step 5: Solve for x
    x = 3,004,950,505.20/47,286.64
  6. Step 6: Final answer
    x = 63,547.56

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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.