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Finding the Fourth Proportional to 137,893.47, 190,282.74 and 77,474.17

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Solution

The fourth proportional to 137,893.47, 190,282.74 and 77,474.17 is: 106,908.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,893.47 : 190,282.74 = 77,474.17 : x
  2. Step 2: Convert to fraction form
    137,893.47/190,282.74 = 77,474.17/x
  3. Step 3: Cross multiply
    137,893.47x = 190,282.74 × 77,474.17
  4. Step 4: Simplify right side
    137,893.47x = 14,741,997,346.83
  5. Step 5: Solve for x
    x = 14,741,997,346.83/137,893.47
  6. Step 6: Final answer
    x = 106,908.60

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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.