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Finding the Fourth Proportional to 152,864, 210,952.32 and 85,796

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Solution

The fourth proportional to 152,864, 210,952.32 and 85,796 is: 118,398.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,864 : 210,952.32 = 85,796 : x
  2. Step 2: Convert to fraction form
    152,864/210,952.32 = 85,796/x
  3. Step 3: Cross multiply
    152,864x = 210,952.32 × 85,796
  4. Step 4: Simplify right side
    152,864x = 18,098,865,246.72
  5. Step 5: Solve for x
    x = 18,098,865,246.72/152,864
  6. Step 6: Final answer
    x = 118,398.48

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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.