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Finding the Fourth Proportional to 105,838.59, 158,806.50 and 45,885.36

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Solution

The fourth proportional to 105,838.59, 158,806.50 and 45,885.36 is: 68,849.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,838.59 : 158,806.50 = 45,885.36 : x
  2. Step 2: Convert to fraction form
    105,838.59/158,806.50 = 45,885.36/x
  3. Step 3: Cross multiply
    105,838.59x = 158,806.50 × 45,885.36
  4. Step 4: Simplify right side
    105,838.59x = 7,286,893,422.84
  5. Step 5: Solve for x
    x = 7,286,893,422.84/105,838.59
  6. Step 6: Final answer
    x = 68,849.12

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.