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Finding the Fourth Proportional to 157,950, 217,969.20 and 86,329.80

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Solution

The fourth proportional to 157,950, 217,969.20 and 86,329.80 is: 119,134.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,950 : 217,969.20 = 86,329.80 : x
  2. Step 2: Convert to fraction form
    157,950/217,969.20 = 86,329.80/x
  3. Step 3: Cross multiply
    157,950x = 217,969.20 × 86,329.80
  4. Step 4: Simplify right side
    157,950x = 18,817,237,442.16
  5. Step 5: Solve for x
    x = 18,817,237,442.16/157,950
  6. Step 6: Final answer
    x = 119,134.14

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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.