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Finding the Fourth Proportional to 52,565.80, 78,870.30 and 19,301.80

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Solution

The fourth proportional to 52,565.80, 78,870.30 and 19,301.80 is: 28,960.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,565.80 : 78,870.30 = 19,301.80 : x
  2. Step 2: Convert to fraction form
    52,565.80/78,870.30 = 19,301.80/x
  3. Step 3: Cross multiply
    52,565.80x = 78,870.30 × 19,301.80
  4. Step 4: Simplify right side
    52,565.80x = 1,522,338,756.54
  5. Step 5: Solve for x
    x = 1,522,338,756.54/52,565.80
  6. Step 6: Final answer
    x = 28,960.63

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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.