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Finding the Fourth Proportional to 155,305.83, 214,320 and 86,394.61

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Solution

The fourth proportional to 155,305.83, 214,320 and 86,394.61 is: 119,223.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,305.83 : 214,320 = 86,394.61 : x
  2. Step 2: Convert to fraction form
    155,305.83/214,320 = 86,394.61/x
  3. Step 3: Cross multiply
    155,305.83x = 214,320 × 86,394.61
  4. Step 4: Simplify right side
    155,305.83x = 18,516,092,815.20
  5. Step 5: Solve for x
    x = 18,516,092,815.20/155,305.83
  6. Step 6: Final answer
    x = 119,223.42

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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.