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Finding the Fourth Proportional to 155,702, 214,903.76 and 101,955.80

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Solution

The fourth proportional to 155,702, 214,903.76 and 101,955.80 is: 140,721.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,702 : 214,903.76 = 101,955.80 : x
  2. Step 2: Convert to fraction form
    155,702/214,903.76 = 101,955.80/x
  3. Step 3: Cross multiply
    155,702x = 214,903.76 × 101,955.80
  4. Step 4: Simplify right side
    155,702x = 21,910,684,773.81
  5. Step 5: Solve for x
    x = 21,910,684,773.81/155,702
  6. Step 6: Final answer
    x = 140,721.92

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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.