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Finding the Fourth Proportional to 51,374, 77,061 and 14,438

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Solution

The fourth proportional to 51,374, 77,061 and 14,438 is: 21,657

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,374 : 77,061 = 14,438 : x
  2. Step 2: Convert to fraction form
    51,374/77,061 = 14,438/x
  3. Step 3: Cross multiply
    51,374x = 77,061 × 14,438
  4. Step 4: Simplify right side
    51,374x = 1,112,606,718
  5. Step 5: Solve for x
    x = 1,112,606,718/51,374
  6. Step 6: Final answer
    x = 21,657

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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.