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Finding the Fourth Proportional to 75,960, 104,824.80 and 42,426

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Solution

The fourth proportional to 75,960, 104,824.80 and 42,426 is: 58,547.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,960 : 104,824.80 = 42,426 : x
  2. Step 2: Convert to fraction form
    75,960/104,824.80 = 42,426/x
  3. Step 3: Cross multiply
    75,960x = 104,824.80 × 42,426
  4. Step 4: Simplify right side
    75,960x = 4,447,296,964.80
  5. Step 5: Solve for x
    x = 4,447,296,964.80/75,960
  6. Step 6: Final answer
    x = 58,547.88

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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.