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Finding the Fourth Proportional to 117,644.80, 176,510.40 and 47,531.20

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Solution

The fourth proportional to 117,644.80, 176,510.40 and 47,531.20 is: 71,314.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,644.80 : 176,510.40 = 47,531.20 : x
  2. Step 2: Convert to fraction form
    117,644.80/176,510.40 = 47,531.20/x
  3. Step 3: Cross multiply
    117,644.80x = 176,510.40 × 47,531.20
  4. Step 4: Simplify right side
    117,644.80x = 8,389,751,124.48
  5. Step 5: Solve for x
    x = 8,389,751,124.48/117,644.80
  6. Step 6: Final answer
    x = 71,314.25

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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.