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Finding the Fourth Proportional to 89,809.86, 134,714.80 and 49,853.38

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Solution

The fourth proportional to 89,809.86, 134,714.80 and 49,853.38 is: 74,780.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,809.86 : 134,714.80 = 49,853.38 : x
  2. Step 2: Convert to fraction form
    89,809.86/134,714.80 = 49,853.38/x
  3. Step 3: Cross multiply
    89,809.86x = 134,714.80 × 49,853.38
  4. Step 4: Simplify right side
    89,809.86x = 6,715,988,116.02
  5. Step 5: Solve for x
    x = 6,715,988,116.02/89,809.86
  6. Step 6: Final answer
    x = 74,780.08

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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.