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Finding the Fourth Proportional to 142,123.97, 213,114.63 and 47,320.76

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Solution

The fourth proportional to 142,123.97, 213,114.63 and 47,320.76 is: 70,957.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,123.97 : 213,114.63 = 47,320.76 : x
  2. Step 2: Convert to fraction form
    142,123.97/213,114.63 = 47,320.76/x
  3. Step 3: Cross multiply
    142,123.97x = 213,114.63 × 47,320.76
  4. Step 4: Simplify right side
    142,123.97x = 10,084,745,311.45
  5. Step 5: Solve for x
    x = 10,084,745,311.45/142,123.97
  6. Step 6: Final answer
    x = 70,957.39

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1.5x scale

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.