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Finding the Fourth Proportional to 161,878.76, 223,395.48 and 89,290

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Solution

The fourth proportional to 161,878.76, 223,395.48 and 89,290 is: 123,221.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,878.76 : 223,395.48 = 89,290 : x
  2. Step 2: Convert to fraction form
    161,878.76/223,395.48 = 89,290/x
  3. Step 3: Cross multiply
    161,878.76x = 223,395.48 × 89,290
  4. Step 4: Simplify right side
    161,878.76x = 19,946,982,409.20
  5. Step 5: Solve for x
    x = 19,946,982,409.20/161,878.76
  6. Step 6: Final answer
    x = 123,221.74

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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.