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Finding the Fourth Proportional to 75,880, 104,714.46 and 42,346

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Solution

The fourth proportional to 75,880, 104,714.46 and 42,346 is: 58,437.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,880 : 104,714.46 = 42,346 : x
  2. Step 2: Convert to fraction form
    75,880/104,714.46 = 42,346/x
  3. Step 3: Cross multiply
    75,880x = 104,714.46 × 42,346
  4. Step 4: Simplify right side
    75,880x = 4,434,238,523.16
  5. Step 5: Solve for x
    x = 4,434,238,523.16/75,880
  6. Step 6: Final answer
    x = 58,437.51

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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.