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Finding the Fourth Proportional to 75,871.84, 104,713.68 and 42,340

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Solution

The fourth proportional to 75,871.84, 104,713.68 and 42,340 is: 58,435.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,871.84 : 104,713.68 = 42,340 : x
  2. Step 2: Convert to fraction form
    75,871.84/104,713.68 = 42,340/x
  3. Step 3: Cross multiply
    75,871.84x = 104,713.68 × 42,340
  4. Step 4: Simplify right side
    75,871.84x = 4,433,577,211.20
  5. Step 5: Solve for x
    x = 4,433,577,211.20/75,871.84
  6. Step 6: Final answer
    x = 58,435.08

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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.