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Finding the Fourth Proportional to 172,073.93, 258,275.07 and 105,643.81

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Solution

The fourth proportional to 172,073.93, 258,275.07 and 105,643.81 is: 158,566.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,073.93 : 258,275.07 = 105,643.81 : x
  2. Step 2: Convert to fraction form
    172,073.93/258,275.07 = 105,643.81/x
  3. Step 3: Cross multiply
    172,073.93x = 258,275.07 × 105,643.81
  4. Step 4: Simplify right side
    172,073.93x = 27,285,162,176.03
  5. Step 5: Solve for x
    x = 27,285,162,176.03/172,073.93
  6. Step 6: Final answer
    x = 158,566.51

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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.