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Finding the Fourth Proportional to 109,713.36, 151,403.76 and 59,412

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Solution

The fourth proportional to 109,713.36, 151,403.76 and 59,412 is: 81,988.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,713.36 : 151,403.76 = 59,412 : x
  2. Step 2: Convert to fraction form
    109,713.36/151,403.76 = 59,412/x
  3. Step 3: Cross multiply
    109,713.36x = 151,403.76 × 59,412
  4. Step 4: Simplify right side
    109,713.36x = 8,995,200,189.12
  5. Step 5: Solve for x
    x = 8,995,200,189.12/109,713.36
  6. Step 6: Final answer
    x = 81,988.19

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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.