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Finding the Fourth Proportional to 387,203.68, 580,834.68 and 106,718.50

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Solution

The fourth proportional to 387,203.68, 580,834.68 and 106,718.50 is: 160,085.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,203.68 : 580,834.68 = 106,718.50 : x
  2. Step 2: Convert to fraction form
    387,203.68/580,834.68 = 106,718.50/x
  3. Step 3: Cross multiply
    387,203.68x = 580,834.68 × 106,718.50
  4. Step 4: Simplify right side
    387,203.68x = 61,985,805,797.58
  5. Step 5: Solve for x
    x = 61,985,805,797.58/387,203.68
  6. Step 6: Final answer
    x = 160,085.79

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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.