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Finding the Fourth Proportional to 153,016.40, 229,523.40 and 90,642

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Solution

The fourth proportional to 153,016.40, 229,523.40 and 90,642 is: 135,962.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,016.40 : 229,523.40 = 90,642 : x
  2. Step 2: Convert to fraction form
    153,016.40/229,523.40 = 90,642/x
  3. Step 3: Cross multiply
    153,016.40x = 229,523.40 × 90,642
  4. Step 4: Simplify right side
    153,016.40x = 20,804,460,022.80
  5. Step 5: Solve for x
    x = 20,804,460,022.80/153,016.40
  6. Step 6: Final answer
    x = 135,962.29

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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.