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Finding the Fourth Proportional to 99,357.84, 137,081.16 and 61,624.80

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Solution

The fourth proportional to 99,357.84, 137,081.16 and 61,624.80 is: 85,021.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,357.84 : 137,081.16 = 61,624.80 : x
  2. Step 2: Convert to fraction form
    99,357.84/137,081.16 = 61,624.80/x
  3. Step 3: Cross multiply
    99,357.84x = 137,081.16 × 61,624.80
  4. Step 4: Simplify right side
    99,357.84x = 8,447,599,068.77
  5. Step 5: Solve for x
    x = 8,447,599,068.77/99,357.84
  6. Step 6: Final answer
    x = 85,021.97

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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.