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Finding the Fourth Proportional to 137,807.84, 190,172.40 and 77,378.96

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Solution

The fourth proportional to 137,807.84, 190,172.40 and 77,378.96 is: 106,781.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,807.84 : 190,172.40 = 77,378.96 : x
  2. Step 2: Convert to fraction form
    137,807.84/190,172.40 = 77,378.96/x
  3. Step 3: Cross multiply
    137,807.84x = 190,172.40 × 77,378.96
  4. Step 4: Simplify right side
    137,807.84x = 14,715,342,532.70
  5. Step 5: Solve for x
    x = 14,715,342,532.70/137,807.84
  6. Step 6: Final answer
    x = 106,781.61

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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.