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Finding the Fourth Proportional to 130,638, 180,281.72 and 71,023.28

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Solution

The fourth proportional to 130,638, 180,281.72 and 71,023.28 is: 98,012.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,638 : 180,281.72 = 71,023.28 : x
  2. Step 2: Convert to fraction form
    130,638/180,281.72 = 71,023.28/x
  3. Step 3: Cross multiply
    130,638x = 180,281.72 × 71,023.28
  4. Step 4: Simplify right side
    130,638x = 12,804,199,078.44
  5. Step 5: Solve for x
    x = 12,804,199,078.44/130,638
  6. Step 6: Final answer
    x = 98,012.82

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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.