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Finding the Fourth Proportional to 159,422.31, 220,012.74 and 87,802.31

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Solution

The fourth proportional to 159,422.31, 220,012.74 and 87,802.31 is: 121,172.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,422.31 : 220,012.74 = 87,802.31 : x
  2. Step 2: Convert to fraction form
    159,422.31/220,012.74 = 87,802.31/x
  3. Step 3: Cross multiply
    159,422.31x = 220,012.74 × 87,802.31
  4. Step 4: Simplify right side
    159,422.31x = 19,317,626,801.43
  5. Step 5: Solve for x
    x = 19,317,626,801.43/159,422.31
  6. Step 6: Final answer
    x = 121,172.67

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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.