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Finding the Fourth Proportional to 142,780, 197,044.26 and 79,116.40

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Solution

The fourth proportional to 142,780, 197,044.26 and 79,116.40 is: 109,184.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,780 : 197,044.26 = 79,116.40 : x
  2. Step 2: Convert to fraction form
    142,780/197,044.26 = 79,116.40/x
  3. Step 3: Cross multiply
    142,780x = 197,044.26 × 79,116.40
  4. Step 4: Simplify right side
    142,780x = 15,589,432,491.86
  5. Step 5: Solve for x
    x = 15,589,432,491.86/142,780
  6. Step 6: Final answer
    x = 109,184.99

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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.