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Finding the Fourth Proportional to 73,214, 101,001.48 and 42,989.60

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Solution

The fourth proportional to 73,214, 101,001.48 and 42,989.60 is: 59,305.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,214 : 101,001.48 = 42,989.60 : x
  2. Step 2: Convert to fraction form
    73,214/101,001.48 = 42,989.60/x
  3. Step 3: Cross multiply
    73,214x = 101,001.48 × 42,989.60
  4. Step 4: Simplify right side
    73,214x = 4,342,013,224.61
  5. Step 5: Solve for x
    x = 4,342,013,224.61/73,214
  6. Step 6: Final answer
    x = 59,305.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.