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Finding the Fourth Proportional to 102,912.32, 154,626.87 and 65,488.70

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Solution

The fourth proportional to 102,912.32, 154,626.87 and 65,488.70 is: 98,397.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,912.32 : 154,626.87 = 65,488.70 : x
  2. Step 2: Convert to fraction form
    102,912.32/154,626.87 = 65,488.70/x
  3. Step 3: Cross multiply
    102,912.32x = 154,626.87 × 65,488.70
  4. Step 4: Simplify right side
    102,912.32x = 10,126,312,701.37
  5. Step 5: Solve for x
    x = 10,126,312,701.37/102,912.32
  6. Step 6: Final answer
    x = 98,397.48

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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.