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Finding the Fourth Proportional to 142,275.40, 213,423.90 and 42,427.78

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Solution

The fourth proportional to 142,275.40, 213,423.90 and 42,427.78 is: 63,644.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,275.40 : 213,423.90 = 42,427.78 : x
  2. Step 2: Convert to fraction form
    142,275.40/213,423.90 = 42,427.78/x
  3. Step 3: Cross multiply
    142,275.40x = 213,423.90 × 42,427.78
  4. Step 4: Simplify right side
    142,275.40x = 9,055,102,275.94
  5. Step 5: Solve for x
    x = 9,055,102,275.94/142,275.40
  6. Step 6: Final answer
    x = 63,644.89

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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.