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Finding the Fourth Proportional to 142,818.61, 214,356.42 and 76,315.60

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Solution

The fourth proportional to 142,818.61, 214,356.42 and 76,315.60 is: 114,542.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,818.61 : 214,356.42 = 76,315.60 : x
  2. Step 2: Convert to fraction form
    142,818.61/214,356.42 = 76,315.60/x
  3. Step 3: Cross multiply
    142,818.61x = 214,356.42 × 76,315.60
  4. Step 4: Simplify right side
    142,818.61x = 16,358,738,806.15
  5. Step 5: Solve for x
    x = 16,358,738,806.15/142,818.61
  6. Step 6: Final answer
    x = 114,542.07

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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.