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Finding the Fourth Proportional to 105,523.92, 158,284.56 and 42,372

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Solution

The fourth proportional to 105,523.92, 158,284.56 and 42,372 is: 63,557.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,523.92 : 158,284.56 = 42,372 : x
  2. Step 2: Convert to fraction form
    105,523.92/158,284.56 = 42,372/x
  3. Step 3: Cross multiply
    105,523.92x = 158,284.56 × 42,372
  4. Step 4: Simplify right side
    105,523.92x = 6,706,833,376.32
  5. Step 5: Solve for x
    x = 6,706,833,376.32/105,523.92
  6. Step 6: Final answer
    x = 63,557.47

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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.