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Finding the Fourth Proportional to 145,658.68, 201,012.78 and 81,998.80

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Solution

The fourth proportional to 145,658.68, 201,012.78 and 81,998.80 is: 113,160.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,658.68 : 201,012.78 = 81,998.80 : x
  2. Step 2: Convert to fraction form
    145,658.68/201,012.78 = 81,998.80/x
  3. Step 3: Cross multiply
    145,658.68x = 201,012.78 × 81,998.80
  4. Step 4: Simplify right side
    145,658.68x = 16,482,806,744.66
  5. Step 5: Solve for x
    x = 16,482,806,744.66/145,658.68
  6. Step 6: Final answer
    x = 113,160.48

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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.