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Finding the Fourth Proportional to 155,900, 215,141.76 and 84,280.08

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Solution

The fourth proportional to 155,900, 215,141.76 and 84,280.08 is: 116,306.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,900 : 215,141.76 = 84,280.08 : x
  2. Step 2: Convert to fraction form
    155,900/215,141.76 = 84,280.08/x
  3. Step 3: Cross multiply
    155,900x = 215,141.76 × 84,280.08
  4. Step 4: Simplify right side
    155,900x = 18,132,164,744.14
  5. Step 5: Solve for x
    x = 18,132,164,744.14/155,900
  6. Step 6: Final answer
    x = 116,306.38

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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.