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Finding the Fourth Proportional to 52,322.42, 78,482.99 and 12,879.88

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Solution

The fourth proportional to 52,322.42, 78,482.99 and 12,879.88 is: 19,319.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,322.42 : 78,482.99 = 12,879.88 : x
  2. Step 2: Convert to fraction form
    52,322.42/78,482.99 = 12,879.88/x
  3. Step 3: Cross multiply
    52,322.42x = 78,482.99 × 12,879.88
  4. Step 4: Simplify right side
    52,322.42x = 1,010,851,329.23
  5. Step 5: Solve for x
    x = 1,010,851,329.23/52,322.42
  6. Step 6: Final answer
    x = 19,319.66

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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.