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Finding the Fourth Proportional to 242,646.75, 334,813.13 and 140,652.30

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Solution

The fourth proportional to 242,646.75, 334,813.13 and 140,652.30 is: 194,077.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,646.75 : 334,813.13 = 140,652.30 : x
  2. Step 2: Convert to fraction form
    242,646.75/334,813.13 = 140,652.30/x
  3. Step 3: Cross multiply
    242,646.75x = 334,813.13 × 140,652.30
  4. Step 4: Simplify right side
    242,646.75x = 47,092,236,101.44
  5. Step 5: Solve for x
    x = 47,092,236,101.44/242,646.75
  6. Step 6: Final answer
    x = 194,077.34

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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.