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Finding the Fourth Proportional to 172,947.93, 238,657.86 and 100,345.19

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Solution

The fourth proportional to 172,947.93, 238,657.86 and 100,345.19 is: 138,470.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,947.93 : 238,657.86 = 100,345.19 : x
  2. Step 2: Convert to fraction form
    172,947.93/238,657.86 = 100,345.19/x
  3. Step 3: Cross multiply
    172,947.93x = 238,657.86 × 100,345.19
  4. Step 4: Simplify right side
    172,947.93x = 23,948,168,401.61
  5. Step 5: Solve for x
    x = 23,948,168,401.61/172,947.93
  6. Step 6: Final answer
    x = 138,470.40

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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.