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Finding the Fourth Proportional to 57,149.80, 78,865.70 and 31,999.40

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Solution

The fourth proportional to 57,149.80, 78,865.70 and 31,999.40 is: 44,158.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,149.80 : 78,865.70 = 31,999.40 : x
  2. Step 2: Convert to fraction form
    57,149.80/78,865.70 = 31,999.40/x
  3. Step 3: Cross multiply
    57,149.80x = 78,865.70 × 31,999.40
  4. Step 4: Simplify right side
    57,149.80x = 2,523,655,080.58
  5. Step 5: Solve for x
    x = 2,523,655,080.58/57,149.80
  6. Step 6: Final answer
    x = 44,158.60

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.