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Finding the Fourth Proportional to 113,484, 170,226 and 30,378

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Solution

The fourth proportional to 113,484, 170,226 and 30,378 is: 45,567

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,484 : 170,226 = 30,378 : x
  2. Step 2: Convert to fraction form
    113,484/170,226 = 30,378/x
  3. Step 3: Cross multiply
    113,484x = 170,226 × 30,378
  4. Step 4: Simplify right side
    113,484x = 5,171,125,428
  5. Step 5: Solve for x
    x = 5,171,125,428/113,484
  6. Step 6: Final answer
    x = 45,567

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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.