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Finding the Fourth Proportional to 52,447.76, 78,654.63 and 17,378

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Solution

The fourth proportional to 52,447.76, 78,654.63 and 17,378 is: 26,061.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,447.76 : 78,654.63 = 17,378 : x
  2. Step 2: Convert to fraction form
    52,447.76/78,654.63 = 17,378/x
  3. Step 3: Cross multiply
    52,447.76x = 78,654.63 × 17,378
  4. Step 4: Simplify right side
    52,447.76x = 1,366,860,160.14
  5. Step 5: Solve for x
    x = 1,366,860,160.14/52,447.76
  6. Step 6: Final answer
    x = 26,061.36

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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.