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Finding the Fourth Proportional to 243,172.84, 335,314.02 and 158,132.20

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Solution

The fourth proportional to 243,172.84, 335,314.02 and 158,132.20 is: 218,050.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,172.84 : 335,314.02 = 158,132.20 : x
  2. Step 2: Convert to fraction form
    243,172.84/335,314.02 = 158,132.20/x
  3. Step 3: Cross multiply
    243,172.84x = 335,314.02 × 158,132.20
  4. Step 4: Simplify right side
    243,172.84x = 53,023,943,673.44
  5. Step 5: Solve for x
    x = 53,023,943,673.44/243,172.84
  6. Step 6: Final answer
    x = 218,050.44

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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.