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Finding the Fourth Proportional to 113,369.90, 169,961.72 and 77,732.78

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Solution

The fourth proportional to 113,369.90, 169,961.72 and 77,732.78 is: 116,535.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,369.90 : 169,961.72 = 77,732.78 : x
  2. Step 2: Convert to fraction form
    113,369.90/169,961.72 = 77,732.78/x
  3. Step 3: Cross multiply
    113,369.90x = 169,961.72 × 77,732.78
  4. Step 4: Simplify right side
    113,369.90x = 13,211,596,989.18
  5. Step 5: Solve for x
    x = 13,211,596,989.18/113,369.90
  6. Step 6: Final answer
    x = 116,535.31

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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.