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Finding the Fourth Proportional to 52,864, 72,952.32 and 29,312

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Solution

The fourth proportional to 52,864, 72,952.32 and 29,312 is: 40,450.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,864 : 72,952.32 = 29,312 : x
  2. Step 2: Convert to fraction form
    52,864/72,952.32 = 29,312/x
  3. Step 3: Cross multiply
    52,864x = 72,952.32 × 29,312
  4. Step 4: Simplify right side
    52,864x = 2,138,378,403.84
  5. Step 5: Solve for x
    x = 2,138,378,403.84/52,864
  6. Step 6: Final answer
    x = 40,450.56

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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.