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Finding the Fourth Proportional to 90,378, 135,567 and 24,714

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Solution

The fourth proportional to 90,378, 135,567 and 24,714 is: 37,071

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,378 : 135,567 = 24,714 : x
  2. Step 2: Convert to fraction form
    90,378/135,567 = 24,714/x
  3. Step 3: Cross multiply
    90,378x = 135,567 × 24,714
  4. Step 4: Simplify right side
    90,378x = 3,350,402,838
  5. Step 5: Solve for x
    x = 3,350,402,838/90,378
  6. Step 6: Final answer
    x = 37,071

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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.