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Finding the Fourth Proportional to 105,287.66, 158,040.84 and 61,000.91

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Solution

The fourth proportional to 105,287.66, 158,040.84 and 61,000.91 is: 91,564.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,287.66 : 158,040.84 = 61,000.91 : x
  2. Step 2: Convert to fraction form
    105,287.66/158,040.84 = 61,000.91/x
  3. Step 3: Cross multiply
    105,287.66x = 158,040.84 × 61,000.91
  4. Step 4: Simplify right side
    105,287.66x = 9,640,635,057.16
  5. Step 5: Solve for x
    x = 9,640,635,057.16/105,287.66
  6. Step 6: Final answer
    x = 91,564.72

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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.