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Finding the Fourth Proportional to 268,287.06, 402,495.63 and 99,813.78

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Solution

The fourth proportional to 268,287.06, 402,495.63 and 99,813.78 is: 149,744.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,287.06 : 402,495.63 = 99,813.78 : x
  2. Step 2: Convert to fraction form
    268,287.06/402,495.63 = 99,813.78/x
  3. Step 3: Cross multiply
    268,287.06x = 402,495.63 × 99,813.78
  4. Step 4: Simplify right side
    268,287.06x = 40,174,610,263.78
  5. Step 5: Solve for x
    x = 40,174,610,263.78/268,287.06
  6. Step 6: Final answer
    x = 149,744.87

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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.