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Finding the Fourth Proportional to 175,098.80, 262,345.80 and 81,412.40

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Solution

The fourth proportional to 175,098.80, 262,345.80 and 81,412.40 is: 121,978.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,098.80 : 262,345.80 = 81,412.40 : x
  2. Step 2: Convert to fraction form
    175,098.80/262,345.80 = 81,412.40/x
  3. Step 3: Cross multiply
    175,098.80x = 262,345.80 × 81,412.40
  4. Step 4: Simplify right side
    175,098.80x = 21,358,201,207.92
  5. Step 5: Solve for x
    x = 21,358,201,207.92/175,098.80
  6. Step 6: Final answer
    x = 121,978.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.