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Finding the Fourth Proportional to 100.83, 139.40 and 96.53

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Solution

The fourth proportional to 100.83, 139.40 and 96.53 is: 133.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    100.83 : 139.40 = 96.53 : x
  2. Step 2: Convert to fraction form
    100.83/139.40 = 96.53/x
  3. Step 3: Cross multiply
    100.83x = 139.40 × 96.53
  4. Step 4: Simplify right side
    100.83x = 13,455.46
  5. Step 5: Solve for x
    x = 13,455.46/100.83
  6. Step 6: Final answer
    x = 133.45

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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.