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Finding the Fourth Proportional to 145,859.16, 218,496.90 and 115,923.92

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Solution

The fourth proportional to 145,859.16, 218,496.90 and 115,923.92 is: 173,653.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,859.16 : 218,496.90 = 115,923.92 : x
  2. Step 2: Convert to fraction form
    145,859.16/218,496.90 = 115,923.92/x
  3. Step 3: Cross multiply
    145,859.16x = 218,496.90 × 115,923.92
  4. Step 4: Simplify right side
    145,859.16x = 25,329,017,155.85
  5. Step 5: Solve for x
    x = 25,329,017,155.85/145,859.16
  6. Step 6: Final answer
    x = 173,653.94

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.