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Finding the Fourth Proportional to 201,746.96, 278,411.63 and 115,709.26

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Solution

The fourth proportional to 201,746.96, 278,411.63 and 115,709.26 is: 159,679.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,746.96 : 278,411.63 = 115,709.26 : x
  2. Step 2: Convert to fraction form
    201,746.96/278,411.63 = 115,709.26/x
  3. Step 3: Cross multiply
    201,746.96x = 278,411.63 × 115,709.26
  4. Step 4: Simplify right side
    201,746.96x = 32,214,803,682.69
  5. Step 5: Solve for x
    x = 32,214,803,682.69/201,746.96
  6. Step 6: Final answer
    x = 159,679.26

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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.