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Finding the Fourth Proportional to 142,726.20, 213,679.70 and 138,630.20

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Solution

The fourth proportional to 142,726.20, 213,679.70 and 138,630.20 is: 207,547.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,726.20 : 213,679.70 = 138,630.20 : x
  2. Step 2: Convert to fraction form
    142,726.20/213,679.70 = 138,630.20/x
  3. Step 3: Cross multiply
    142,726.20x = 213,679.70 × 138,630.20
  4. Step 4: Simplify right side
    142,726.20x = 29,622,459,546.94
  5. Step 5: Solve for x
    x = 29,622,459,546.94/142,726.20
  6. Step 6: Final answer
    x = 207,547.45

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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.