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Finding the Fourth Proportional to 64,155, 96,272.61 and 30,878.58

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Solution

The fourth proportional to 64,155, 96,272.61 and 30,878.58 is: 46,337.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,155 : 96,272.61 = 30,878.58 : x
  2. Step 2: Convert to fraction form
    64,155/96,272.61 = 30,878.58/x
  3. Step 3: Cross multiply
    64,155x = 96,272.61 × 30,878.58
  4. Step 4: Simplify right side
    64,155x = 2,972,761,489.69
  5. Step 5: Solve for x
    x = 2,972,761,489.69/64,155
  6. Step 6: Final answer
    x = 46,337.18

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.