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Finding the Fourth Proportional to 242,537.94, 334,712.52 and 135,108

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Solution

The fourth proportional to 242,537.94, 334,712.52 and 135,108 is: 186,454.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,537.94 : 334,712.52 = 135,108 : x
  2. Step 2: Convert to fraction form
    242,537.94/334,712.52 = 135,108/x
  3. Step 3: Cross multiply
    242,537.94x = 334,712.52 × 135,108
  4. Step 4: Simplify right side
    242,537.94x = 45,222,339,152.16
  5. Step 5: Solve for x
    x = 45,222,339,152.16/242,537.94
  6. Step 6: Final answer
    x = 186,454.70

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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.