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Finding the Fourth Proportional to 52,168.48, 78,254.88 and 21,004

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Solution

The fourth proportional to 52,168.48, 78,254.88 and 21,004 is: 31,506.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,168.48 : 78,254.88 = 21,004 : x
  2. Step 2: Convert to fraction form
    52,168.48/78,254.88 = 21,004/x
  3. Step 3: Cross multiply
    52,168.48x = 78,254.88 × 21,004
  4. Step 4: Simplify right side
    52,168.48x = 1,643,665,499.52
  5. Step 5: Solve for x
    x = 1,643,665,499.52/52,168.48
  6. Step 6: Final answer
    x = 31,506.87

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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.