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Finding the Fourth Proportional to 142,287.44, 213,493.08 and 67,460

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Solution

The fourth proportional to 142,287.44, 213,493.08 and 67,460 is: 101,219.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,287.44 : 213,493.08 = 67,460 : x
  2. Step 2: Convert to fraction form
    142,287.44/213,493.08 = 67,460/x
  3. Step 3: Cross multiply
    142,287.44x = 213,493.08 × 67,460
  4. Step 4: Simplify right side
    142,287.44x = 14,402,243,176.80
  5. Step 5: Solve for x
    x = 14,402,243,176.80/142,287.44
  6. Step 6: Final answer
    x = 101,219.36

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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.