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Finding the Fourth Proportional to 115,197, 158,980.02 and 64,896

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Solution

The fourth proportional to 115,197, 158,980.02 and 64,896 is: 89,561.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,197 : 158,980.02 = 64,896 : x
  2. Step 2: Convert to fraction form
    115,197/158,980.02 = 64,896/x
  3. Step 3: Cross multiply
    115,197x = 158,980.02 × 64,896
  4. Step 4: Simplify right side
    115,197x = 10,317,167,377.92
  5. Step 5: Solve for x
    x = 10,317,167,377.92/115,197
  6. Step 6: Final answer
    x = 89,561.08

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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.