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Finding the Fourth Proportional to 76,000, 104,880 and 42,466

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Solution

The fourth proportional to 76,000, 104,880 and 42,466 is: 58,603.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,000 : 104,880 = 42,466 : x
  2. Step 2: Convert to fraction form
    76,000/104,880 = 42,466/x
  3. Step 3: Cross multiply
    76,000x = 104,880 × 42,466
  4. Step 4: Simplify right side
    76,000x = 4,453,834,080
  5. Step 5: Solve for x
    x = 4,453,834,080/76,000
  6. Step 6: Final answer
    x = 58,603.08

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.