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Finding the Fourth Proportional to 142,013.60, 213,020.40 and 42,189.20

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Solution

The fourth proportional to 142,013.60, 213,020.40 and 42,189.20 is: 63,283.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,013.60 : 213,020.40 = 42,189.20 : x
  2. Step 2: Convert to fraction form
    142,013.60/213,020.40 = 42,189.20/x
  3. Step 3: Cross multiply
    142,013.60x = 213,020.40 × 42,189.20
  4. Step 4: Simplify right side
    142,013.60x = 8,987,160,259.68
  5. Step 5: Solve for x
    x = 8,987,160,259.68/142,013.60
  6. Step 6: Final answer
    x = 63,283.80

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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.