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Finding the Fourth Proportional to 78,491.70, 108,319.26 and 42,682.02

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Solution

The fourth proportional to 78,491.70, 108,319.26 and 42,682.02 is: 58,901.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,491.70 : 108,319.26 = 42,682.02 : x
  2. Step 2: Convert to fraction form
    78,491.70/108,319.26 = 42,682.02/x
  3. Step 3: Cross multiply
    78,491.70x = 108,319.26 × 42,682.02
  4. Step 4: Simplify right side
    78,491.70x = 4,623,284,821.71
  5. Step 5: Solve for x
    x = 4,623,284,821.71/78,491.70
  6. Step 6: Final answer
    x = 58,901.58

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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.