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Finding the Fourth Proportional to 142,564, 196,511.68 and 112,301.44

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Solution

The fourth proportional to 142,564, 196,511.68 and 112,301.44 is: 154,797.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,564 : 196,511.68 = 112,301.44 : x
  2. Step 2: Convert to fraction form
    142,564/196,511.68 = 112,301.44/x
  3. Step 3: Cross multiply
    142,564x = 196,511.68 × 112,301.44
  4. Step 4: Simplify right side
    142,564x = 22,068,544,640.82
  5. Step 5: Solve for x
    x = 22,068,544,640.82/142,564
  6. Step 6: Final answer
    x = 154,797.46

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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.