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Finding the Fourth Proportional to 113,429.70, 169,957.32 and 65,911.40

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Solution

The fourth proportional to 113,429.70, 169,957.32 and 65,911.40 is: 98,758.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,429.70 : 169,957.32 = 65,911.40 : x
  2. Step 2: Convert to fraction form
    113,429.70/169,957.32 = 65,911.40/x
  3. Step 3: Cross multiply
    113,429.70x = 169,957.32 × 65,911.40
  4. Step 4: Simplify right side
    113,429.70x = 11,202,124,051.66
  5. Step 5: Solve for x
    x = 11,202,124,051.66/113,429.70
  6. Step 6: Final answer
    x = 98,758.30

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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.