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Finding the Fourth Proportional to 130,600, 180,229.44 and 70,984

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Solution

The fourth proportional to 130,600, 180,229.44 and 70,984 is: 97,958.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,600 : 180,229.44 = 70,984 : x
  2. Step 2: Convert to fraction form
    130,600/180,229.44 = 70,984/x
  3. Step 3: Cross multiply
    130,600x = 180,229.44 × 70,984
  4. Step 4: Simplify right side
    130,600x = 12,793,406,568.96
  5. Step 5: Solve for x
    x = 12,793,406,568.96/130,600
  6. Step 6: Final answer
    x = 97,958.70

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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.