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Finding the Fourth Proportional to 115,200.81, 158,971.86 and 64,219.11

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Solution

The fourth proportional to 115,200.81, 158,971.86 and 64,219.11 is: 88,619.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,200.81 : 158,971.86 = 64,219.11 : x
  2. Step 2: Convert to fraction form
    115,200.81/158,971.86 = 64,219.11/x
  3. Step 3: Cross multiply
    115,200.81x = 158,971.86 × 64,219.11
  4. Step 4: Simplify right side
    115,200.81x = 10,209,031,364.24
  5. Step 5: Solve for x
    x = 10,209,031,364.24/115,200.81
  6. Step 6: Final answer
    x = 88,619.44

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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.