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Finding the Fourth Proportional to 145,444.97, 200,712.73 and 81,783.22

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Solution

The fourth proportional to 145,444.97, 200,712.73 and 81,783.22 is: 112,860.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,444.97 : 200,712.73 = 81,783.22 : x
  2. Step 2: Convert to fraction form
    145,444.97/200,712.73 = 81,783.22/x
  3. Step 3: Cross multiply
    145,444.97x = 200,712.73 × 81,783.22
  4. Step 4: Simplify right side
    145,444.97x = 16,414,933,354.39
  5. Step 5: Solve for x
    x = 16,414,933,354.39/145,444.97
  6. Step 6: Final answer
    x = 112,860.10

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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.