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Finding the Fourth Proportional to 242,043.12, 334,044 and 138,691.00

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Solution

The fourth proportional to 242,043.12, 334,044 and 138,691.00 is: 191,407.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,043.12 : 334,044 = 138,691.00 : x
  2. Step 2: Convert to fraction form
    242,043.12/334,044 = 138,691.00/x
  3. Step 3: Cross multiply
    242,043.12x = 334,044 × 138,691.00
  4. Step 4: Simplify right side
    242,043.12x = 46,328,896,821.56
  5. Step 5: Solve for x
    x = 46,328,896,821.56/242,043.12
  6. Step 6: Final answer
    x = 191,407.62

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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.