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Finding the Fourth Proportional to 105,748, 158,622 and 40,084

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Solution

The fourth proportional to 105,748, 158,622 and 40,084 is: 60,126

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,748 : 158,622 = 40,084 : x
  2. Step 2: Convert to fraction form
    105,748/158,622 = 40,084/x
  3. Step 3: Cross multiply
    105,748x = 158,622 × 40,084
  4. Step 4: Simplify right side
    105,748x = 6,358,204,248
  5. Step 5: Solve for x
    x = 6,358,204,248/105,748
  6. Step 6: Final answer
    x = 60,126

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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.