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Finding the Fourth Proportional to 115,200, 158,984.16 and 64,899

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Solution

The fourth proportional to 115,200, 158,984.16 and 64,899 is: 89,565.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,200 : 158,984.16 = 64,899 : x
  2. Step 2: Convert to fraction form
    115,200/158,984.16 = 64,899/x
  3. Step 3: Cross multiply
    115,200x = 158,984.16 × 64,899
  4. Step 4: Simplify right side
    115,200x = 10,317,912,999.84
  5. Step 5: Solve for x
    x = 10,317,912,999.84/115,200
  6. Step 6: Final answer
    x = 89,565.22

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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.