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Finding the Fourth Proportional to 115,358.10, 172,653.15 and 83,678.10

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Solution

The fourth proportional to 115,358.10, 172,653.15 and 83,678.10 is: 125,238.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,358.10 : 172,653.15 = 83,678.10 : x
  2. Step 2: Convert to fraction form
    115,358.10/172,653.15 = 83,678.10/x
  3. Step 3: Cross multiply
    115,358.10x = 172,653.15 × 83,678.10
  4. Step 4: Simplify right side
    115,358.10x = 14,447,287,551.02
  5. Step 5: Solve for x
    x = 14,447,287,551.02/115,358.10
  6. Step 6: Final answer
    x = 125,238.61

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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.