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Finding the Fourth Proportional to 180,205.34, 270,045.55 and 86,601.74

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Solution

The fourth proportional to 180,205.34, 270,045.55 and 86,601.74 is: 129,776.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,205.34 : 270,045.55 = 86,601.74 : x
  2. Step 2: Convert to fraction form
    180,205.34/270,045.55 = 86,601.74/x
  3. Step 3: Cross multiply
    180,205.34x = 270,045.55 × 86,601.74
  4. Step 4: Simplify right side
    180,205.34x = 23,386,414,509.26
  5. Step 5: Solve for x
    x = 23,386,414,509.26/180,205.34
  6. Step 6: Final answer
    x = 129,776.48

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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.