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Finding the Fourth Proportional to 261,892.08, 361,411.16 and 142,660.08

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Solution

The fourth proportional to 261,892.08, 361,411.16 and 142,660.08 is: 196,870.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,892.08 : 361,411.16 = 142,660.08 : x
  2. Step 2: Convert to fraction form
    261,892.08/361,411.16 = 142,660.08/x
  3. Step 3: Cross multiply
    261,892.08x = 361,411.16 × 142,660.08
  4. Step 4: Simplify right side
    261,892.08x = 51,558,944,998.49
  5. Step 5: Solve for x
    x = 51,558,944,998.49/261,892.08
  6. Step 6: Final answer
    x = 196,870.96

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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.