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Finding the Fourth Proportional to 137,802.78, 190,178.82 and 77,377.46

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Solution

The fourth proportional to 137,802.78, 190,178.82 and 77,377.46 is: 106,787.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,802.78 : 190,178.82 = 77,377.46 : x
  2. Step 2: Convert to fraction form
    137,802.78/190,178.82 = 77,377.46/x
  3. Step 3: Cross multiply
    137,802.78x = 190,178.82 × 77,377.46
  4. Step 4: Simplify right side
    137,802.78x = 14,715,553,086.50
  5. Step 5: Solve for x
    x = 14,715,553,086.50/137,802.78
  6. Step 6: Final answer
    x = 106,787.06

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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.