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Finding the Fourth Proportional to 243,025, 335,387.46 and 142,455.40

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Solution

The fourth proportional to 243,025, 335,387.46 and 142,455.40 is: 196,596.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,025 : 335,387.46 = 142,455.40 : x
  2. Step 2: Convert to fraction form
    243,025/335,387.46 = 142,455.40/x
  3. Step 3: Cross multiply
    243,025x = 335,387.46 × 142,455.40
  4. Step 4: Simplify right side
    243,025x = 47,777,754,769.28
  5. Step 5: Solve for x
    x = 47,777,754,769.28/243,025
  6. Step 6: Final answer
    x = 196,596.05

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1.5x scale

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.