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Finding the Fourth Proportional to 115,931.88, 160,804.49 and 112,859.15

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Solution

The fourth proportional to 115,931.88, 160,804.49 and 112,859.15 is: 156,542.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,931.88 : 160,804.49 = 112,859.15 : x
  2. Step 2: Convert to fraction form
    115,931.88/160,804.49 = 112,859.15/x
  3. Step 3: Cross multiply
    115,931.88x = 160,804.49 × 112,859.15
  4. Step 4: Simplify right side
    115,931.88x = 18,148,257,535.71
  5. Step 5: Solve for x
    x = 18,148,257,535.71/115,931.88
  6. Step 6: Final answer
    x = 156,542.42

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.