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Finding the Fourth Proportional to 243,280, 335,719.88 and 135,847.04

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Solution

The fourth proportional to 243,280, 335,719.88 and 135,847.04 is: 187,465.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,280 : 335,719.88 = 135,847.04 : x
  2. Step 2: Convert to fraction form
    243,280/335,719.88 = 135,847.04/x
  3. Step 3: Cross multiply
    243,280x = 335,719.88 × 135,847.04
  4. Step 4: Simplify right side
    243,280x = 45,606,551,967.16
  5. Step 5: Solve for x
    x = 45,606,551,967.16/243,280
  6. Step 6: Final answer
    x = 187,465.27

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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.