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Finding the Fourth Proportional to 159,422.10, 220,012.46 and 87,802.10

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Solution

The fourth proportional to 159,422.10, 220,012.46 and 87,802.10 is: 121,172.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,422.10 : 220,012.46 = 87,802.10 : x
  2. Step 2: Convert to fraction form
    159,422.10/220,012.46 = 87,802.10/x
  3. Step 3: Cross multiply
    159,422.10x = 220,012.46 × 87,802.10
  4. Step 4: Simplify right side
    159,422.10x = 19,317,556,014.17
  5. Step 5: Solve for x
    x = 19,317,556,014.17/159,422.10
  6. Step 6: Final answer
    x = 121,172.38

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1.5x scale

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.