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Finding the Fourth Proportional to 98,586.72, 135,890.28 and 77,039.02

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Solution

The fourth proportional to 98,586.72, 135,890.28 and 77,039.02 is: 106,189.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,586.72 : 135,890.28 = 77,039.02 : x
  2. Step 2: Convert to fraction form
    98,586.72/135,890.28 = 77,039.02/x
  3. Step 3: Cross multiply
    98,586.72x = 135,890.28 × 77,039.02
  4. Step 4: Simplify right side
    98,586.72x = 10,468,854,767.45
  5. Step 5: Solve for x
    x = 10,468,854,767.45/98,586.72
  6. Step 6: Final answer
    x = 106,189.30

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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.