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Finding the Fourth Proportional to 268,191.96, 402,339.84 and 101,967

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Solution

The fourth proportional to 268,191.96, 402,339.84 and 101,967 is: 152,970.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,191.96 : 402,339.84 = 101,967 : x
  2. Step 2: Convert to fraction form
    268,191.96/402,339.84 = 101,967/x
  3. Step 3: Cross multiply
    268,191.96x = 402,339.84 × 101,967
  4. Step 4: Simplify right side
    268,191.96x = 41,025,386,465.28
  5. Step 5: Solve for x
    x = 41,025,386,465.28/268,191.96
  6. Step 6: Final answer
    x = 152,970.23

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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.