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Finding the Fourth Proportional to 159,530.81, 220,152.92 and 86,934.26

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Solution

The fourth proportional to 159,530.81, 220,152.92 and 86,934.26 is: 119,969.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,530.81 : 220,152.92 = 86,934.26 : x
  2. Step 2: Convert to fraction form
    159,530.81/220,152.92 = 86,934.26/x
  3. Step 3: Cross multiply
    159,530.81x = 220,152.92 × 86,934.26
  4. Step 4: Simplify right side
    159,530.81x = 19,138,830,086.27
  5. Step 5: Solve for x
    x = 19,138,830,086.27/159,530.81
  6. Step 6: Final answer
    x = 119,969.49

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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.