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Finding the Fourth Proportional to 52,283.52, 78,425.54 and 12,840.64

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Solution

The fourth proportional to 52,283.52, 78,425.54 and 12,840.64 is: 19,261.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,283.52 : 78,425.54 = 12,840.64 : x
  2. Step 2: Convert to fraction form
    52,283.52/78,425.54 = 12,840.64/x
  3. Step 3: Cross multiply
    52,283.52x = 78,425.54 × 12,840.64
  4. Step 4: Simplify right side
    52,283.52x = 1,007,034,125.95
  5. Step 5: Solve for x
    x = 1,007,034,125.95/52,283.52
  6. Step 6: Final answer
    x = 19,261.02

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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.