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Finding the Fourth Proportional to 142,419.40, 213,629.10 and 59,302.60

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Solution

The fourth proportional to 142,419.40, 213,629.10 and 59,302.60 is: 88,953.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,419.40 : 213,629.10 = 59,302.60 : x
  2. Step 2: Convert to fraction form
    142,419.40/213,629.10 = 59,302.60/x
  3. Step 3: Cross multiply
    142,419.40x = 213,629.10 × 59,302.60
  4. Step 4: Simplify right side
    142,419.40x = 12,668,761,065.66
  5. Step 5: Solve for x
    x = 12,668,761,065.66/142,419.40
  6. Step 6: Final answer
    x = 88,953.90

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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.