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Finding the Fourth Proportional to 130,985, 180,788.46 and 83,229.02

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Solution

The fourth proportional to 130,985, 180,788.46 and 83,229.02 is: 114,874.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,985 : 180,788.46 = 83,229.02 : x
  2. Step 2: Convert to fraction form
    130,985/180,788.46 = 83,229.02/x
  3. Step 3: Cross multiply
    130,985x = 180,788.46 × 83,229.02
  4. Step 4: Simplify right side
    130,985x = 15,046,846,353.11
  5. Step 5: Solve for x
    x = 15,046,846,353.11/130,985
  6. Step 6: Final answer
    x = 114,874.58

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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.