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Finding the Fourth Proportional to 180,089.10, 270,145.16 and 69,281.10

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Solution

The fourth proportional to 180,089.10, 270,145.16 and 69,281.10 is: 103,926.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,089.10 : 270,145.16 = 69,281.10 : x
  2. Step 2: Convert to fraction form
    180,089.10/270,145.16 = 69,281.10/x
  3. Step 3: Cross multiply
    180,089.10x = 270,145.16 × 69,281.10
  4. Step 4: Simplify right side
    180,089.10x = 18,715,952,666.95
  5. Step 5: Solve for x
    x = 18,715,952,666.95/180,089.10
  6. Step 6: Final answer
    x = 103,926.07

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.