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Finding the Fourth Proportional to 142,744.80, 214,117.20 and 59,638.80

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Solution

The fourth proportional to 142,744.80, 214,117.20 and 59,638.80 is: 89,458.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,744.80 : 214,117.20 = 59,638.80 : x
  2. Step 2: Convert to fraction form
    142,744.80/214,117.20 = 59,638.80/x
  3. Step 3: Cross multiply
    142,744.80x = 214,117.20 × 59,638.80
  4. Step 4: Simplify right side
    142,744.80x = 12,769,692,867.36
  5. Step 5: Solve for x
    x = 12,769,692,867.36/142,744.80
  6. Step 6: Final answer
    x = 89,458.20

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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.