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Finding the Fourth Proportional to 137,958.48, 190,381.71 and 77,527.82

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Solution

The fourth proportional to 137,958.48, 190,381.71 and 77,527.82 is: 106,987.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,958.48 : 190,381.71 = 77,527.82 : x
  2. Step 2: Convert to fraction form
    137,958.48/190,381.71 = 77,527.82/x
  3. Step 3: Cross multiply
    137,958.48x = 190,381.71 × 77,527.82
  4. Step 4: Simplify right side
    137,958.48x = 14,759,878,944.17
  5. Step 5: Solve for x
    x = 14,759,878,944.17/137,958.48
  6. Step 6: Final answer
    x = 106,987.83

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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.