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Finding the Fourth Proportional to 251,715.84, 377,807.36 and 127,144.32

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Solution

The fourth proportional to 251,715.84, 377,807.36 and 127,144.32 is: 190,834.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,715.84 : 377,807.36 = 127,144.32 : x
  2. Step 2: Convert to fraction form
    251,715.84/377,807.36 = 127,144.32/x
  3. Step 3: Cross multiply
    251,715.84x = 377,807.36 × 127,144.32
  4. Step 4: Simplify right side
    251,715.84x = 48,036,059,878.20
  5. Step 5: Solve for x
    x = 48,036,059,878.20/251,715.84
  6. Step 6: Final answer
    x = 190,834.47

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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.