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Finding the Fourth Proportional to 180,329.64, 270,386.46 and 85,583.40

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Solution

The fourth proportional to 180,329.64, 270,386.46 and 85,583.40 is: 128,323.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,329.64 : 270,386.46 = 85,583.40 : x
  2. Step 2: Convert to fraction form
    180,329.64/270,386.46 = 85,583.40/x
  3. Step 3: Cross multiply
    180,329.64x = 270,386.46 × 85,583.40
  4. Step 4: Simplify right side
    180,329.64x = 23,140,592,560.76
  5. Step 5: Solve for x
    x = 23,140,592,560.76/180,329.64
  6. Step 6: Final answer
    x = 128,323.84

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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.