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Finding the Fourth Proportional to 201,761.10, 278,419.64 and 115,715.64

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Solution

The fourth proportional to 201,761.10, 278,419.64 and 115,715.64 is: 159,681.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,761.10 : 278,419.64 = 115,715.64 : x
  2. Step 2: Convert to fraction form
    201,761.10/278,419.64 = 115,715.64/x
  3. Step 3: Cross multiply
    201,761.10x = 278,419.64 × 115,715.64
  4. Step 4: Simplify right side
    201,761.10x = 32,217,506,252.59
  5. Step 5: Solve for x
    x = 32,217,506,252.59/201,761.10
  6. Step 6: Final answer
    x = 159,681.46

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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.