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Finding the Fourth Proportional to 268,173.96, 402,312.80 and 101,949

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Solution

The fourth proportional to 268,173.96, 402,312.80 and 101,949 is: 152,943.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,173.96 : 402,312.80 = 101,949 : x
  2. Step 2: Convert to fraction form
    268,173.96/402,312.80 = 101,949/x
  3. Step 3: Cross multiply
    268,173.96x = 402,312.80 × 101,949
  4. Step 4: Simplify right side
    268,173.96x = 41,015,387,647.20
  5. Step 5: Solve for x
    x = 41,015,387,647.20/268,173.96
  6. Step 6: Final answer
    x = 152,943.22

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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.