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Finding the Fourth Proportional to 101,345.14, 139,856.49 and 56,633.14

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Solution

The fourth proportional to 101,345.14, 139,856.49 and 56,633.14 is: 78,153.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,345.14 : 139,856.49 = 56,633.14 : x
  2. Step 2: Convert to fraction form
    101,345.14/139,856.49 = 56,633.14/x
  3. Step 3: Cross multiply
    101,345.14x = 139,856.49 × 56,633.14
  4. Step 4: Simplify right side
    101,345.14x = 7,920,512,178.08
  5. Step 5: Solve for x
    x = 7,920,512,178.08/101,345.14
  6. Step 6: Final answer
    x = 78,153.84

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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.