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Finding the Fourth Proportional to 142,185.66, 212,992.36 and 67,377.95

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Solution

The fourth proportional to 142,185.66, 212,992.36 and 67,377.95 is: 100,931.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,185.66 : 212,992.36 = 67,377.95 : x
  2. Step 2: Convert to fraction form
    142,185.66/212,992.36 = 67,377.95/x
  3. Step 3: Cross multiply
    142,185.66x = 212,992.36 × 67,377.95
  4. Step 4: Simplify right side
    142,185.66x = 14,350,987,349.06
  5. Step 5: Solve for x
    x = 14,350,987,349.06/142,185.66
  6. Step 6: Final answer
    x = 100,931.33

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.