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Finding the Fourth Proportional to 48,032, 72,048.32 and 15,200

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Solution

The fourth proportional to 48,032, 72,048.32 and 15,200 is: 22,800.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,032 : 72,048.32 = 15,200 : x
  2. Step 2: Convert to fraction form
    48,032/72,048.32 = 15,200/x
  3. Step 3: Cross multiply
    48,032x = 72,048.32 × 15,200
  4. Step 4: Simplify right side
    48,032x = 1,095,134,464
  5. Step 5: Solve for x
    x = 1,095,134,464/48,032
  6. Step 6: Final answer
    x = 22,800.10

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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.