Home / 105,789.54-145,856.73-77,446.02

Finding the Fourth Proportional to 105,789.54, 145,856.73 and 77,446.02

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Solution

The fourth proportional to 105,789.54, 145,856.73 and 77,446.02 is: 106,778.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,789.54 : 145,856.73 = 77,446.02 : x
  2. Step 2: Convert to fraction form
    105,789.54/145,856.73 = 77,446.02/x
  3. Step 3: Cross multiply
    105,789.54x = 145,856.73 × 77,446.02
  4. Step 4: Simplify right side
    105,789.54x = 11,296,023,228.71
  5. Step 5: Solve for x
    x = 11,296,023,228.71/105,789.54
  6. Step 6: Final answer
    x = 106,778.26

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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.