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Finding the Fourth Proportional to 115,835, 159,851.22 and 65,534

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Solution

The fourth proportional to 115,835, 159,851.22 and 65,534 is: 90,436.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,835 : 159,851.22 = 65,534 : x
  2. Step 2: Convert to fraction form
    115,835/159,851.22 = 65,534/x
  3. Step 3: Cross multiply
    115,835x = 159,851.22 × 65,534
  4. Step 4: Simplify right side
    115,835x = 10,475,689,851.48
  5. Step 5: Solve for x
    x = 10,475,689,851.48/115,835
  6. Step 6: Final answer
    x = 90,436.31

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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.