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Finding the Fourth Proportional to 146,718.71, 202,472.66 and 86,291.90

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Solution

The fourth proportional to 146,718.71, 202,472.66 and 86,291.90 is: 119,083.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,718.71 : 202,472.66 = 86,291.90 : x
  2. Step 2: Convert to fraction form
    146,718.71/202,472.66 = 86,291.90/x
  3. Step 3: Cross multiply
    146,718.71x = 202,472.66 × 86,291.90
  4. Step 4: Simplify right side
    146,718.71x = 17,471,749,085.63
  5. Step 5: Solve for x
    x = 17,471,749,085.63/146,718.71
  6. Step 6: Final answer
    x = 119,083.31

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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.