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Finding the Fourth Proportional to 154,798.50, 213,631.26 and 86,819.50

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Solution

The fourth proportional to 154,798.50, 213,631.26 and 86,819.50 is: 119,816.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,798.50 : 213,631.26 = 86,819.50 : x
  2. Step 2: Convert to fraction form
    154,798.50/213,631.26 = 86,819.50/x
  3. Step 3: Cross multiply
    154,798.50x = 213,631.26 × 86,819.50
  4. Step 4: Simplify right side
    154,798.50x = 18,547,359,177.57
  5. Step 5: Solve for x
    x = 18,547,359,177.57/154,798.50
  6. Step 6: Final answer
    x = 119,816.14

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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.