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Finding the Fourth Proportional to 90,409.84, 124,769.70 and 51,651.10

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Solution

The fourth proportional to 90,409.84, 124,769.70 and 51,651.10 is: 71,280.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,409.84 : 124,769.70 = 51,651.10 : x
  2. Step 2: Convert to fraction form
    90,409.84/124,769.70 = 51,651.10/x
  3. Step 3: Cross multiply
    90,409.84x = 124,769.70 × 51,651.10
  4. Step 4: Simplify right side
    90,409.84x = 6,444,492,251.67
  5. Step 5: Solve for x
    x = 6,444,492,251.67/90,409.84
  6. Step 6: Final answer
    x = 71,280.87

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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.