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Finding the Fourth Proportional to 73,060.92, 100,823.22 and 42,840

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Solution

The fourth proportional to 73,060.92, 100,823.22 and 42,840 is: 59,118.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,060.92 : 100,823.22 = 42,840 : x
  2. Step 2: Convert to fraction form
    73,060.92/100,823.22 = 42,840/x
  3. Step 3: Cross multiply
    73,060.92x = 100,823.22 × 42,840
  4. Step 4: Simplify right side
    73,060.92x = 4,319,266,744.80
  5. Step 5: Solve for x
    x = 4,319,266,744.80/73,060.92
  6. Step 6: Final answer
    x = 59,118.70

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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.