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Finding the Fourth Proportional to 130,677, 180,397.60 and 87,640.74

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Solution

The fourth proportional to 130,677, 180,397.60 and 87,640.74 is: 120,986.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,677 : 180,397.60 = 87,640.74 : x
  2. Step 2: Convert to fraction form
    130,677/180,397.60 = 87,640.74/x
  3. Step 3: Cross multiply
    130,677x = 180,397.60 × 87,640.74
  4. Step 4: Simplify right side
    130,677x = 15,810,179,158.22
  5. Step 5: Solve for x
    x = 15,810,179,158.22/130,677
  6. Step 6: Final answer
    x = 120,986.70

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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.