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Finding the Fourth Proportional to 268,213.70, 402,064.55 and 99,688.90

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Solution

The fourth proportional to 268,213.70, 402,064.55 and 99,688.90 is: 149,438.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,213.70 : 402,064.55 = 99,688.90 : x
  2. Step 2: Convert to fraction form
    268,213.70/402,064.55 = 99,688.90/x
  3. Step 3: Cross multiply
    268,213.70x = 402,064.55 × 99,688.90
  4. Step 4: Simplify right side
    268,213.70x = 40,081,372,718.50
  5. Step 5: Solve for x
    x = 40,081,372,718.50/268,213.70
  6. Step 6: Final answer
    x = 149,438.20

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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.