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Finding the Fourth Proportional to 113,000.86, 155,930.53 and 67,678.02

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Solution

The fourth proportional to 113,000.86, 155,930.53 and 67,678.02 is: 93,389.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,000.86 : 155,930.53 = 67,678.02 : x
  2. Step 2: Convert to fraction form
    113,000.86/155,930.53 = 67,678.02/x
  3. Step 3: Cross multiply
    113,000.86x = 155,930.53 × 67,678.02
  4. Step 4: Simplify right side
    113,000.86x = 10,553,069,527.95
  5. Step 5: Solve for x
    x = 10,553,069,527.95/113,000.86
  6. Step 6: Final answer
    x = 93,389.29

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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.