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Finding the Fourth Proportional to 140,970.84, 194,548.62 and 77,308.66

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Solution

The fourth proportional to 140,970.84, 194,548.62 and 77,308.66 is: 106,690.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,970.84 : 194,548.62 = 77,308.66 : x
  2. Step 2: Convert to fraction form
    140,970.84/194,548.62 = 77,308.66/x
  3. Step 3: Cross multiply
    140,970.84x = 194,548.62 × 77,308.66
  4. Step 4: Simplify right side
    140,970.84x = 15,040,293,117.05
  5. Step 5: Solve for x
    x = 15,040,293,117.05/140,970.84
  6. Step 6: Final answer
    x = 106,690.81

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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.