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Finding the Fourth Proportional to 145,507.78, 200,799.57 and 81,851.50

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Solution

The fourth proportional to 145,507.78, 200,799.57 and 81,851.50 is: 112,954.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,507.78 : 200,799.57 = 81,851.50 : x
  2. Step 2: Convert to fraction form
    145,507.78/200,799.57 = 81,851.50/x
  3. Step 3: Cross multiply
    145,507.78x = 200,799.57 × 81,851.50
  4. Step 4: Simplify right side
    145,507.78x = 16,435,746,003.86
  5. Step 5: Solve for x
    x = 16,435,746,003.86/145,507.78
  6. Step 6: Final answer
    x = 112,954.41

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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.