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Finding the Fourth Proportional to 159,422.15, 220,012.52 and 87,802.16

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Solution

The fourth proportional to 159,422.15, 220,012.52 and 87,802.16 is: 121,172.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,422.15 : 220,012.52 = 87,802.16 : x
  2. Step 2: Convert to fraction form
    159,422.15/220,012.52 = 87,802.16/x
  3. Step 3: Cross multiply
    159,422.15x = 220,012.52 × 87,802.16
  4. Step 4: Simplify right side
    159,422.15x = 19,317,573,437.86
  5. Step 5: Solve for x
    x = 19,317,573,437.86/159,422.15
  6. Step 6: Final answer
    x = 121,172.45

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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.