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Finding the Fourth Proportional to 40,476.84, 60,702.88 and 19,406

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Solution

The fourth proportional to 40,476.84, 60,702.88 and 19,406 is: 29,103.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,476.84 : 60,702.88 = 19,406 : x
  2. Step 2: Convert to fraction form
    40,476.84/60,702.88 = 19,406/x
  3. Step 3: Cross multiply
    40,476.84x = 60,702.88 × 19,406
  4. Step 4: Simplify right side
    40,476.84x = 1,178,000,089.28
  5. Step 5: Solve for x
    x = 1,178,000,089.28/40,476.84
  6. Step 6: Final answer
    x = 29,103.06

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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.