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Finding the Fourth Proportional to 137,895.69, 190,275.31 and 77,454.76

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Solution

The fourth proportional to 137,895.69, 190,275.31 and 77,454.76 is: 106,875.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,895.69 : 190,275.31 = 77,454.76 : x
  2. Step 2: Convert to fraction form
    137,895.69/190,275.31 = 77,454.76/x
  3. Step 3: Cross multiply
    137,895.69x = 190,275.31 × 77,454.76
  4. Step 4: Simplify right side
    137,895.69x = 14,737,728,469.98
  5. Step 5: Solve for x
    x = 14,737,728,469.98/137,895.69
  6. Step 6: Final answer
    x = 106,875.92

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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.