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Finding the Fourth Proportional to 78,570.28, 108,425.86 and 43,242.28

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Solution

The fourth proportional to 78,570.28, 108,425.86 and 43,242.28 is: 59,673.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,570.28 : 108,425.86 = 43,242.28 : x
  2. Step 2: Convert to fraction form
    78,570.28/108,425.86 = 43,242.28/x
  3. Step 3: Cross multiply
    78,570.28x = 108,425.86 × 43,242.28
  4. Step 4: Simplify right side
    78,570.28x = 4,688,581,397.36
  5. Step 5: Solve for x
    x = 4,688,581,397.36/78,570.28
  6. Step 6: Final answer
    x = 59,673.73

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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.