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Finding the Fourth Proportional to 242,504.79, 334,657.14 and 140,549.88

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Solution

The fourth proportional to 242,504.79, 334,657.14 and 140,549.88 is: 193,959.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,504.79 : 334,657.14 = 140,549.88 : x
  2. Step 2: Convert to fraction form
    242,504.79/334,657.14 = 140,549.88/x
  3. Step 3: Cross multiply
    242,504.79x = 334,657.14 × 140,549.88
  4. Step 4: Simplify right side
    242,504.79x = 47,036,020,868.14
  5. Step 5: Solve for x
    x = 47,036,020,868.14/242,504.79
  6. Step 6: Final answer
    x = 193,959.14

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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.