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Finding the Fourth Proportional to 47,300.57, 70,948.80 and 11,761.15

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Solution

The fourth proportional to 47,300.57, 70,948.80 and 11,761.15 is: 17,641.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,300.57 : 70,948.80 = 11,761.15 : x
  2. Step 2: Convert to fraction form
    47,300.57/70,948.80 = 11,761.15/x
  3. Step 3: Cross multiply
    47,300.57x = 70,948.80 × 11,761.15
  4. Step 4: Simplify right side
    47,300.57x = 834,439,479.12
  5. Step 5: Solve for x
    x = 834,439,479.12/47,300.57
  6. Step 6: Final answer
    x = 17,641.21

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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.