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Finding the Fourth Proportional to 52,670.62, 78,879.84 and 38,400.76

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Solution

The fourth proportional to 52,670.62, 78,879.84 and 38,400.76 is: 57,509.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,670.62 : 78,879.84 = 38,400.76 : x
  2. Step 2: Convert to fraction form
    52,670.62/78,879.84 = 38,400.76/x
  3. Step 3: Cross multiply
    52,670.62x = 78,879.84 × 38,400.76
  4. Step 4: Simplify right side
    52,670.62x = 3,029,045,804.68
  5. Step 5: Solve for x
    x = 3,029,045,804.68/52,670.62
  6. Step 6: Final answer
    x = 57,509.21

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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.