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Finding the Fourth Proportional to 130,456, 180,029.28 and 70,840

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Solution

The fourth proportional to 130,456, 180,029.28 and 70,840 is: 97,759.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,456 : 180,029.28 = 70,840 : x
  2. Step 2: Convert to fraction form
    130,456/180,029.28 = 70,840/x
  3. Step 3: Cross multiply
    130,456x = 180,029.28 × 70,840
  4. Step 4: Simplify right side
    130,456x = 12,753,274,195.20
  5. Step 5: Solve for x
    x = 12,753,274,195.20/130,456
  6. Step 6: Final answer
    x = 97,759.20

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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.