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Finding the Fourth Proportional to 76,091.65, 105,005.90 and 42,557.65

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Solution

The fourth proportional to 76,091.65, 105,005.90 and 42,557.65 is: 58,729.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,091.65 : 105,005.90 = 42,557.65 : x
  2. Step 2: Convert to fraction form
    76,091.65/105,005.90 = 42,557.65/x
  3. Step 3: Cross multiply
    76,091.65x = 105,005.90 × 42,557.65
  4. Step 4: Simplify right side
    76,091.65x = 4,468,804,184.01
  5. Step 5: Solve for x
    x = 4,468,804,184.01/76,091.65
  6. Step 6: Final answer
    x = 58,729.23

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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.