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Finding the Fourth Proportional to 209,603.66, 289,445.18 and 133,147.40

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Solution

The fourth proportional to 209,603.66, 289,445.18 and 133,147.40 is: 183,865.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,603.66 : 289,445.18 = 133,147.40 : x
  2. Step 2: Convert to fraction form
    209,603.66/289,445.18 = 133,147.40/x
  3. Step 3: Cross multiply
    209,603.66x = 289,445.18 × 133,147.40
  4. Step 4: Simplify right side
    209,603.66x = 38,538,871,046.57
  5. Step 5: Solve for x
    x = 38,538,871,046.57/209,603.66
  6. Step 6: Final answer
    x = 183,865.45

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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.