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Finding the Fourth Proportional to 105,248.14, 157,104.42 and 91,961.98

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Solution

The fourth proportional to 105,248.14, 157,104.42 and 91,961.98 is: 137,272.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,248.14 : 157,104.42 = 91,961.98 : x
  2. Step 2: Convert to fraction form
    105,248.14/157,104.42 = 91,961.98/x
  3. Step 3: Cross multiply
    105,248.14x = 157,104.42 × 91,961.98
  4. Step 4: Simplify right side
    105,248.14x = 14,447,633,529.95
  5. Step 5: Solve for x
    x = 14,447,633,529.95/105,248.14
  6. Step 6: Final answer
    x = 137,272.10

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.