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Finding the Fourth Proportional to 100,857, 139,182.66 and 58,429.20

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Solution

The fourth proportional to 100,857, 139,182.66 and 58,429.20 is: 80,632.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,857 : 139,182.66 = 58,429.20 : x
  2. Step 2: Convert to fraction form
    100,857/139,182.66 = 58,429.20/x
  3. Step 3: Cross multiply
    100,857x = 139,182.66 × 58,429.20
  4. Step 4: Simplify right side
    100,857x = 8,132,331,477.67
  5. Step 5: Solve for x
    x = 8,132,331,477.67/100,857
  6. Step 6: Final answer
    x = 80,632.30

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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.