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Finding the Fourth Proportional to 115,303.50, 159,121.26 and 65,002.50

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Solution

The fourth proportional to 115,303.50, 159,121.26 and 65,002.50 is: 89,704.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,303.50 : 159,121.26 = 65,002.50 : x
  2. Step 2: Convert to fraction form
    115,303.50/159,121.26 = 65,002.50/x
  3. Step 3: Cross multiply
    115,303.50x = 159,121.26 × 65,002.50
  4. Step 4: Simplify right side
    115,303.50x = 10,343,279,703.15
  5. Step 5: Solve for x
    x = 10,343,279,703.15/115,303.50
  6. Step 6: Final answer
    x = 89,704.82

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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.