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Finding the Fourth Proportional to 101,352, 139,874.40 and 56,648.64

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Solution

The fourth proportional to 101,352, 139,874.40 and 56,648.64 is: 78,179.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,352 : 139,874.40 = 56,648.64 : x
  2. Step 2: Convert to fraction form
    101,352/139,874.40 = 56,648.64/x
  3. Step 3: Cross multiply
    101,352x = 139,874.40 × 56,648.64
  4. Step 4: Simplify right side
    101,352x = 7,923,694,530.82
  5. Step 5: Solve for x
    x = 7,923,694,530.82/101,352
  6. Step 6: Final answer
    x = 78,179.95

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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.