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Finding the Fourth Proportional to 141,828, 212,752.24 and 54,276

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Solution

The fourth proportional to 141,828, 212,752.24 and 54,276 is: 81,417.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,828 : 212,752.24 = 54,276 : x
  2. Step 2: Convert to fraction form
    141,828/212,752.24 = 54,276/x
  3. Step 3: Cross multiply
    141,828x = 212,752.24 × 54,276
  4. Step 4: Simplify right side
    141,828x = 11,547,340,578.24
  5. Step 5: Solve for x
    x = 11,547,340,578.24/141,828
  6. Step 6: Final answer
    x = 81,417.92

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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.