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Finding the Fourth Proportional to 155,924.76, 214,952.22 and 111,135

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Solution

The fourth proportional to 155,924.76, 214,952.22 and 111,135 is: 153,206.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,924.76 : 214,952.22 = 111,135 : x
  2. Step 2: Convert to fraction form
    155,924.76/214,952.22 = 111,135/x
  3. Step 3: Cross multiply
    155,924.76x = 214,952.22 × 111,135
  4. Step 4: Simplify right side
    155,924.76x = 23,888,714,969.70
  5. Step 5: Solve for x
    x = 23,888,714,969.70/155,924.76
  6. Step 6: Final answer
    x = 153,206.68

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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.