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Finding the Fourth Proportional to 128,342.64, 192,353.56 and 61,764.90

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Solution

The fourth proportional to 128,342.64, 192,353.56 and 61,764.90 is: 92,570.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,342.64 : 192,353.56 = 61,764.90 : x
  2. Step 2: Convert to fraction form
    128,342.64/192,353.56 = 61,764.90/x
  3. Step 3: Cross multiply
    128,342.64x = 192,353.56 × 61,764.90
  4. Step 4: Simplify right side
    128,342.64x = 11,880,698,398.04
  5. Step 5: Solve for x
    x = 11,880,698,398.04/128,342.64
  6. Step 6: Final answer
    x = 92,570.16

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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.