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Finding the Fourth Proportional to 115,409.01, 159,264 and 64,421.30

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Solution

The fourth proportional to 115,409.01, 159,264 and 64,421.30 is: 88,901.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,409.01 : 159,264 = 64,421.30 : x
  2. Step 2: Convert to fraction form
    115,409.01/159,264 = 64,421.30/x
  3. Step 3: Cross multiply
    115,409.01x = 159,264 × 64,421.30
  4. Step 4: Simplify right side
    115,409.01x = 10,259,994,321.36
  5. Step 5: Solve for x
    x = 10,259,994,321.36/115,409.01
  6. Step 6: Final answer
    x = 88,901.15

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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.