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Finding the Fourth Proportional to 142,272, 213,410.88 and 43,776

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Solution

The fourth proportional to 142,272, 213,410.88 and 43,776 is: 65,664.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,272 : 213,410.88 = 43,776 : x
  2. Step 2: Convert to fraction form
    142,272/213,410.88 = 43,776/x
  3. Step 3: Cross multiply
    142,272x = 213,410.88 × 43,776
  4. Step 4: Simplify right side
    142,272x = 9,342,274,682.88
  5. Step 5: Solve for x
    x = 9,342,274,682.88/142,272
  6. Step 6: Final answer
    x = 65,664.89

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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.