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Finding the Fourth Proportional to 100,915, 139,262.70 and 56,203

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Solution

The fourth proportional to 100,915, 139,262.70 and 56,203 is: 77,560.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,915 : 139,262.70 = 56,203 : x
  2. Step 2: Convert to fraction form
    100,915/139,262.70 = 56,203/x
  3. Step 3: Cross multiply
    100,915x = 139,262.70 × 56,203
  4. Step 4: Simplify right side
    100,915x = 7,826,981,528.10
  5. Step 5: Solve for x
    x = 7,826,981,528.10/100,915
  6. Step 6: Final answer
    x = 77,560.14

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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.