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Finding the Fourth Proportional to 101,195.70, 151,663.95 and 77,705.70

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Solution

The fourth proportional to 101,195.70, 151,663.95 and 77,705.70 is: 116,459.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,195.70 : 151,663.95 = 77,705.70 : x
  2. Step 2: Convert to fraction form
    101,195.70/151,663.95 = 77,705.70/x
  3. Step 3: Cross multiply
    101,195.70x = 151,663.95 × 77,705.70
  4. Step 4: Simplify right side
    101,195.70x = 11,785,153,399.52
  5. Step 5: Solve for x
    x = 11,785,153,399.52/101,195.70
  6. Step 6: Final answer
    x = 116,459.03

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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.