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Finding the Fourth Proportional to 145,731.80, 201,106.87 and 81,200.79

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Solution

The fourth proportional to 145,731.80, 201,106.87 and 81,200.79 is: 112,055.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,731.80 : 201,106.87 = 81,200.79 : x
  2. Step 2: Convert to fraction form
    145,731.80/201,106.87 = 81,200.79/x
  3. Step 3: Cross multiply
    145,731.80x = 201,106.87 × 81,200.79
  4. Step 4: Simplify right side
    145,731.80x = 16,330,036,515.43
  5. Step 5: Solve for x
    x = 16,330,036,515.43/145,731.80
  6. Step 6: Final answer
    x = 112,055.41

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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.