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Finding the Fourth Proportional to 113,518, 156,394.02 and 89,635.96

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Solution

The fourth proportional to 113,518, 156,394.02 and 89,635.96 is: 123,491.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,518 : 156,394.02 = 89,635.96 : x
  2. Step 2: Convert to fraction form
    113,518/156,394.02 = 89,635.96/x
  3. Step 3: Cross multiply
    113,518x = 156,394.02 × 89,635.96
  4. Step 4: Simplify right side
    113,518x = 14,018,528,120.96
  5. Step 5: Solve for x
    x = 14,018,528,120.96/113,518
  6. Step 6: Final answer
    x = 123,491.68

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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.