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Finding the Fourth Proportional to 161,878.94, 242,610.60 and 77,512.69

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Solution

The fourth proportional to 161,878.94, 242,610.60 and 77,512.69 is: 116,169.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,878.94 : 242,610.60 = 77,512.69 : x
  2. Step 2: Convert to fraction form
    161,878.94/242,610.60 = 77,512.69/x
  3. Step 3: Cross multiply
    161,878.94x = 242,610.60 × 77,512.69
  4. Step 4: Simplify right side
    161,878.94x = 18,805,400,228.51
  5. Step 5: Solve for x
    x = 18,805,400,228.51/161,878.94
  6. Step 6: Final answer
    x = 116,169.53

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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.