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Finding the Fourth Proportional to 154,287.86, 231,348.63 and 83,248.58

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Solution

The fourth proportional to 154,287.86, 231,348.63 and 83,248.58 is: 124,828.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,287.86 : 231,348.63 = 83,248.58 : x
  2. Step 2: Convert to fraction form
    154,287.86/231,348.63 = 83,248.58/x
  3. Step 3: Cross multiply
    154,287.86x = 231,348.63 × 83,248.58
  4. Step 4: Simplify right side
    154,287.86x = 19,259,444,932.45
  5. Step 5: Solve for x
    x = 19,259,444,932.45/154,287.86
  6. Step 6: Final answer
    x = 124,828.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.