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Finding the Fourth Proportional to 52,520, 78,803.04 and 30,632

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Solution

The fourth proportional to 52,520, 78,803.04 and 30,632 is: 45,961.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,520 : 78,803.04 = 30,632 : x
  2. Step 2: Convert to fraction form
    52,520/78,803.04 = 30,632/x
  3. Step 3: Cross multiply
    52,520x = 78,803.04 × 30,632
  4. Step 4: Simplify right side
    52,520x = 2,413,894,721.28
  5. Step 5: Solve for x
    x = 2,413,894,721.28/52,520
  6. Step 6: Final answer
    x = 45,961.44

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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.