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Finding the Fourth Proportional to 114,020.22, 157,298.43 and 65,611.80

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Solution

The fourth proportional to 114,020.22, 157,298.43 and 65,611.80 is: 90,515.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,020.22 : 157,298.43 = 65,611.80 : x
  2. Step 2: Convert to fraction form
    114,020.22/157,298.43 = 65,611.80/x
  3. Step 3: Cross multiply
    114,020.22x = 157,298.43 × 65,611.80
  4. Step 4: Simplify right side
    114,020.22x = 10,320,633,129.47
  5. Step 5: Solve for x
    x = 10,320,633,129.47/114,020.22
  6. Step 6: Final answer
    x = 90,515.81

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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.