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Finding the Fourth Proportional to 48,465, 72,645.12 and 20,378.52

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Solution

The fourth proportional to 48,465, 72,645.12 and 20,378.52 is: 30,545.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,465 : 72,645.12 = 20,378.52 : x
  2. Step 2: Convert to fraction form
    48,465/72,645.12 = 20,378.52/x
  3. Step 3: Cross multiply
    48,465x = 72,645.12 × 20,378.52
  4. Step 4: Simplify right side
    48,465x = 1,480,400,030.82
  5. Step 5: Solve for x
    x = 1,480,400,030.82/48,465
  6. Step 6: Final answer
    x = 30,545.76

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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.