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Finding the Fourth Proportional to 78,681.28, 108,581.40 and 42,871.28

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Solution

The fourth proportional to 78,681.28, 108,581.40 and 42,871.28 is: 59,163.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,681.28 : 108,581.40 = 42,871.28 : x
  2. Step 2: Convert to fraction form
    78,681.28/108,581.40 = 42,871.28/x
  3. Step 3: Cross multiply
    78,681.28x = 108,581.40 × 42,871.28
  4. Step 4: Simplify right side
    78,681.28x = 4,655,023,602.19
  5. Step 5: Solve for x
    x = 4,655,023,602.19/78,681.28
  6. Step 6: Final answer
    x = 59,163.04

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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.