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Finding the Fourth Proportional to 115,190.46, 158,972.02 and 64,219.59

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Solution

The fourth proportional to 115,190.46, 158,972.02 and 64,219.59 is: 88,628.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,190.46 : 158,972.02 = 64,219.59 : x
  2. Step 2: Convert to fraction form
    115,190.46/158,972.02 = 64,219.59/x
  3. Step 3: Cross multiply
    115,190.46x = 158,972.02 × 64,219.59
  4. Step 4: Simplify right side
    115,190.46x = 10,209,117,785.32
  5. Step 5: Solve for x
    x = 10,209,117,785.32/115,190.46
  6. Step 6: Final answer
    x = 88,628.15

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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.