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Finding the Fourth Proportional to 48,312.78, 72,465.93 and 13,249.50

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Solution

The fourth proportional to 48,312.78, 72,465.93 and 13,249.50 is: 19,873.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,312.78 : 72,465.93 = 13,249.50 : x
  2. Step 2: Convert to fraction form
    48,312.78/72,465.93 = 13,249.50/x
  3. Step 3: Cross multiply
    48,312.78x = 72,465.93 × 13,249.50
  4. Step 4: Simplify right side
    48,312.78x = 960,137,339.54
  5. Step 5: Solve for x
    x = 960,137,339.54/48,312.78
  6. Step 6: Final answer
    x = 19,873.36

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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.