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Finding the Fourth Proportional to 202,749.96, 279,782.91 and 112,098.81

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Solution

The fourth proportional to 202,749.96, 279,782.91 and 112,098.81 is: 154,689.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,749.96 : 279,782.91 = 112,098.81 : x
  2. Step 2: Convert to fraction form
    202,749.96/279,782.91 = 112,098.81/x
  3. Step 3: Cross multiply
    202,749.96x = 279,782.91 × 112,098.81
  4. Step 4: Simplify right side
    202,749.96x = 31,363,331,269.34
  5. Step 5: Solve for x
    x = 31,363,331,269.34/202,749.96
  6. Step 6: Final answer
    x = 154,689.70

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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.