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Finding the Fourth Proportional to 141,838.97, 212,791.72 and 56,455

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Solution

The fourth proportional to 141,838.97, 212,791.72 and 56,455 is: 84,695.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,838.97 : 212,791.72 = 56,455 : x
  2. Step 2: Convert to fraction form
    141,838.97/212,791.72 = 56,455/x
  3. Step 3: Cross multiply
    141,838.97x = 212,791.72 × 56,455
  4. Step 4: Simplify right side
    141,838.97x = 12,013,156,552.60
  5. Step 5: Solve for x
    x = 12,013,156,552.60/141,838.97
  6. Step 6: Final answer
    x = 84,695.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.