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Finding the Fourth Proportional to 145,230.42, 200,418.77 and 81,568.22

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Solution

The fourth proportional to 145,230.42, 200,418.77 and 81,568.22 is: 112,564.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,230.42 : 200,418.77 = 81,568.22 : x
  2. Step 2: Convert to fraction form
    145,230.42/200,418.77 = 81,568.22/x
  3. Step 3: Cross multiply
    145,230.42x = 200,418.77 × 81,568.22
  4. Step 4: Simplify right side
    145,230.42x = 16,347,803,028.46
  5. Step 5: Solve for x
    x = 16,347,803,028.46/145,230.42
  6. Step 6: Final answer
    x = 112,564.59

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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.