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Finding the Fourth Proportional to 146,805.91, 202,582.56 and 86,364.88

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Solution

The fourth proportional to 146,805.91, 202,582.56 and 86,364.88 is: 119,177.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,805.91 : 202,582.56 = 86,364.88 : x
  2. Step 2: Convert to fraction form
    146,805.91/202,582.56 = 86,364.88/x
  3. Step 3: Cross multiply
    146,805.91x = 202,582.56 × 86,364.88
  4. Step 4: Simplify right side
    146,805.91x = 17,496,018,484.49
  5. Step 5: Solve for x
    x = 17,496,018,484.49/146,805.91
  6. Step 6: Final answer
    x = 119,177.89

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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.