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Finding the Fourth Proportional to 242,716.50, 334,960.26 and 135,287.28

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Solution

The fourth proportional to 242,716.50, 334,960.26 and 135,287.28 is: 186,702.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,716.50 : 334,960.26 = 135,287.28 : x
  2. Step 2: Convert to fraction form
    242,716.50/334,960.26 = 135,287.28/x
  3. Step 3: Cross multiply
    242,716.50x = 334,960.26 × 135,287.28
  4. Step 4: Simplify right side
    242,716.50x = 45,315,862,483.49
  5. Step 5: Solve for x
    x = 45,315,862,483.49/242,716.50
  6. Step 6: Final answer
    x = 186,702.85

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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.