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Finding the Fourth Proportional to 115,310.34, 159,128.01 and 65,008.98

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Solution

The fourth proportional to 115,310.34, 159,128.01 and 65,008.98 is: 89,712.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,310.34 : 159,128.01 = 65,008.98 : x
  2. Step 2: Convert to fraction form
    115,310.34/159,128.01 = 65,008.98/x
  3. Step 3: Cross multiply
    115,310.34x = 159,128.01 × 65,008.98
  4. Step 4: Simplify right side
    115,310.34x = 10,344,749,619.53
  5. Step 5: Solve for x
    x = 10,344,749,619.53/115,310.34
  6. Step 6: Final answer
    x = 89,712.25

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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.