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Finding the Fourth Proportional to 153,014.40, 229,520.40 and 90,640

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Solution

The fourth proportional to 153,014.40, 229,520.40 and 90,640 is: 135,959.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,014.40 : 229,520.40 = 90,640 : x
  2. Step 2: Convert to fraction form
    153,014.40/229,520.40 = 90,640/x
  3. Step 3: Cross multiply
    153,014.40x = 229,520.40 × 90,640
  4. Step 4: Simplify right side
    153,014.40x = 20,803,729,056
  5. Step 5: Solve for x
    x = 20,803,729,056/153,014.40
  6. Step 6: Final answer
    x = 135,959.29

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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.