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Finding the Fourth Proportional to 199,243.90, 299,211.45 and 105,931.90

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Solution

The fourth proportional to 199,243.90, 299,211.45 and 105,931.90 is: 159,081.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,243.90 : 299,211.45 = 105,931.90 : x
  2. Step 2: Convert to fraction form
    199,243.90/299,211.45 = 105,931.90/x
  3. Step 3: Cross multiply
    199,243.90x = 299,211.45 × 105,931.90
  4. Step 4: Simplify right side
    199,243.90x = 31,696,037,400.26
  5. Step 5: Solve for x
    x = 31,696,037,400.26/199,243.90
  6. Step 6: Final answer
    x = 159,081.59

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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.