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Finding the Fourth Proportional to 158,643, 218,923.34 and 90,655.65

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Solution

The fourth proportional to 158,643, 218,923.34 and 90,655.65 is: 125,102.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,643 : 218,923.34 = 90,655.65 : x
  2. Step 2: Convert to fraction form
    158,643/218,923.34 = 90,655.65/x
  3. Step 3: Cross multiply
    158,643x = 218,923.34 × 90,655.65
  4. Step 4: Simplify right side
    158,643x = 19,846,637,234.59
  5. Step 5: Solve for x
    x = 19,846,637,234.59/158,643
  6. Step 6: Final answer
    x = 125,102.51

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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.