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Finding the Fourth Proportional to 142,885.84, 197,182.12 and 79,222

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Solution

The fourth proportional to 142,885.84, 197,182.12 and 79,222 is: 109,326.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,885.84 : 197,182.12 = 79,222 : x
  2. Step 2: Convert to fraction form
    142,885.84/197,182.12 = 79,222/x
  3. Step 3: Cross multiply
    142,885.84x = 197,182.12 × 79,222
  4. Step 4: Simplify right side
    142,885.84x = 15,621,161,910.64
  5. Step 5: Solve for x
    x = 15,621,161,910.64/142,885.84
  6. Step 6: Final answer
    x = 109,326.17

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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.