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Finding the Fourth Proportional to 52,497.98, 78,723.88 and 19,209.40

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Solution

The fourth proportional to 52,497.98, 78,723.88 and 19,209.40 is: 28,805.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,497.98 : 78,723.88 = 19,209.40 : x
  2. Step 2: Convert to fraction form
    52,497.98/78,723.88 = 19,209.40/x
  3. Step 3: Cross multiply
    52,497.98x = 78,723.88 × 19,209.40
  4. Step 4: Simplify right side
    52,497.98x = 1,512,238,500.47
  5. Step 5: Solve for x
    x = 1,512,238,500.47/52,497.98
  6. Step 6: Final answer
    x = 28,805.65

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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.