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Finding the Fourth Proportional to 52,002.40, 78,002.40 and 16,941.80

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Solution

The fourth proportional to 52,002.40, 78,002.40 and 16,941.80 is: 25,412.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,002.40 : 78,002.40 = 16,941.80 : x
  2. Step 2: Convert to fraction form
    52,002.40/78,002.40 = 16,941.80/x
  3. Step 3: Cross multiply
    52,002.40x = 78,002.40 × 16,941.80
  4. Step 4: Simplify right side
    52,002.40x = 1,321,501,060.32
  5. Step 5: Solve for x
    x = 1,321,501,060.32/52,002.40
  6. Step 6: Final answer
    x = 25,412.31

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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.