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Finding the Fourth Proportional to 78,192.24, 107,905.37 and 42,382.24

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Solution

The fourth proportional to 78,192.24, 107,905.37 and 42,382.24 is: 58,487.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,192.24 : 107,905.37 = 42,382.24 : x
  2. Step 2: Convert to fraction form
    78,192.24/107,905.37 = 42,382.24/x
  3. Step 3: Cross multiply
    78,192.24x = 107,905.37 × 42,382.24
  4. Step 4: Simplify right side
    78,192.24x = 4,573,270,806.95
  5. Step 5: Solve for x
    x = 4,573,270,806.95/78,192.24
  6. Step 6: Final answer
    x = 58,487.53

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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.