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Finding the Fourth Proportional to 78,586.80, 117,611.40 and 47,444.40

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Solution

The fourth proportional to 78,586.80, 117,611.40 and 47,444.40 is: 71,004.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,586.80 : 117,611.40 = 47,444.40 : x
  2. Step 2: Convert to fraction form
    78,586.80/117,611.40 = 47,444.40/x
  3. Step 3: Cross multiply
    78,586.80x = 117,611.40 × 47,444.40
  4. Step 4: Simplify right side
    78,586.80x = 5,580,002,306.16
  5. Step 5: Solve for x
    x = 5,580,002,306.16/78,586.80
  6. Step 6: Final answer
    x = 71,004.32

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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.