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Finding the Fourth Proportional to 243,129.84, 335,254.68 and 158,089.20

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Solution

The fourth proportional to 243,129.84, 335,254.68 and 158,089.20 is: 217,991.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,129.84 : 335,254.68 = 158,089.20 : x
  2. Step 2: Convert to fraction form
    243,129.84/335,254.68 = 158,089.20/x
  3. Step 3: Cross multiply
    243,129.84x = 335,254.68 × 158,089.20
  4. Step 4: Simplify right side
    243,129.84x = 53,000,144,157.46
  5. Step 5: Solve for x
    x = 53,000,144,157.46/243,129.84
  6. Step 6: Final answer
    x = 217,991.11

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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.