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Finding the Fourth Proportional to 100,917.02, 138,256.96 and 97,133.42

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Solution

The fourth proportional to 100,917.02, 138,256.96 and 97,133.42 is: 133,073.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,917.02 : 138,256.96 = 97,133.42 : x
  2. Step 2: Convert to fraction form
    100,917.02/138,256.96 = 97,133.42/x
  3. Step 3: Cross multiply
    100,917.02x = 138,256.96 × 97,133.42
  4. Step 4: Simplify right side
    100,917.02x = 13,429,371,363.60
  5. Step 5: Solve for x
    x = 13,429,371,363.60/100,917.02
  6. Step 6: Final answer
    x = 133,073.40

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.