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Finding the Fourth Proportional to 78,192.33, 107,905.02 and 42,382.23

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Solution

The fourth proportional to 78,192.33, 107,905.02 and 42,382.23 is: 58,487.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,192.33 : 107,905.02 = 42,382.23 : x
  2. Step 2: Convert to fraction form
    78,192.33/107,905.02 = 42,382.23/x
  3. Step 3: Cross multiply
    78,192.33x = 107,905.02 × 42,382.23
  4. Step 4: Simplify right side
    78,192.33x = 4,573,255,375.79
  5. Step 5: Solve for x
    x = 4,573,255,375.79/78,192.33
  6. Step 6: Final answer
    x = 58,487.26

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1.5x scale

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.