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Finding the Fourth Proportional to 142,858.76, 213,657.42 and 86,543.24

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Solution

The fourth proportional to 142,858.76, 213,657.42 and 86,543.24 is: 129,432.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,858.76 : 213,657.42 = 86,543.24 : x
  2. Step 2: Convert to fraction form
    142,858.76/213,657.42 = 86,543.24/x
  3. Step 3: Cross multiply
    142,858.76x = 213,657.42 × 86,543.24
  4. Step 4: Simplify right side
    142,858.76x = 18,490,605,376.84
  5. Step 5: Solve for x
    x = 18,490,605,376.84/142,858.76
  6. Step 6: Final answer
    x = 129,432.77

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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.