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Finding the Fourth Proportional to 115,409.94, 159,337.72 and 74,595.43

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Solution

The fourth proportional to 115,409.94, 159,337.72 and 74,595.43 is: 102,988.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,409.94 : 159,337.72 = 74,595.43 : x
  2. Step 2: Convert to fraction form
    115,409.94/159,337.72 = 74,595.43/x
  3. Step 3: Cross multiply
    115,409.94x = 159,337.72 × 74,595.43
  4. Step 4: Simplify right side
    115,409.94x = 11,885,865,926.14
  5. Step 5: Solve for x
    x = 11,885,865,926.14/115,409.94
  6. Step 6: Final answer
    x = 102,988.24

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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.