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Finding the Fourth Proportional to 130,500, 180,092.16 and 70,884

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Solution

The fourth proportional to 130,500, 180,092.16 and 70,884 is: 97,821.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,500 : 180,092.16 = 70,884 : x
  2. Step 2: Convert to fraction form
    130,500/180,092.16 = 70,884/x
  3. Step 3: Cross multiply
    130,500x = 180,092.16 × 70,884
  4. Step 4: Simplify right side
    130,500x = 12,765,652,669.44
  5. Step 5: Solve for x
    x = 12,765,652,669.44/130,500
  6. Step 6: Final answer
    x = 97,821.09

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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.