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Finding the Fourth Proportional to 113,165.70, 169,748.55 and 71,175.30

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Solution

The fourth proportional to 113,165.70, 169,748.55 and 71,175.30 is: 106,762.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,165.70 : 169,748.55 = 71,175.30 : x
  2. Step 2: Convert to fraction form
    113,165.70/169,748.55 = 71,175.30/x
  3. Step 3: Cross multiply
    113,165.70x = 169,748.55 × 71,175.30
  4. Step 4: Simplify right side
    113,165.70x = 12,081,903,970.82
  5. Step 5: Solve for x
    x = 12,081,903,970.82/113,165.70
  6. Step 6: Final answer
    x = 106,762.95

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.