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Finding the Fourth Proportional to 99,685.50, 137,564.10 and 54,363.84

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Solution

The fourth proportional to 99,685.50, 137,564.10 and 54,363.84 is: 75,021.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,685.50 : 137,564.10 = 54,363.84 : x
  2. Step 2: Convert to fraction form
    99,685.50/137,564.10 = 54,363.84/x
  3. Step 3: Cross multiply
    99,685.50x = 137,564.10 × 54,363.84
  4. Step 4: Simplify right side
    99,685.50x = 7,478,512,722.14
  5. Step 5: Solve for x
    x = 7,478,512,722.14/99,685.50
  6. Step 6: Final answer
    x = 75,021.07

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1.5x scale

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.