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Finding the Fourth Proportional to 145,856.37, 201,281.78 and 78,788.37

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Solution

The fourth proportional to 145,856.37, 201,281.78 and 78,788.37 is: 108,727.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,856.37 : 201,281.78 = 78,788.37 : x
  2. Step 2: Convert to fraction form
    145,856.37/201,281.78 = 78,788.37/x
  3. Step 3: Cross multiply
    145,856.37x = 201,281.78 × 78,788.37
  4. Step 4: Simplify right side
    145,856.37x = 15,858,663,553.87
  5. Step 5: Solve for x
    x = 15,858,663,553.87/145,856.37
  6. Step 6: Final answer
    x = 108,727.95

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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.