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Finding the Fourth Proportional to 130,155, 195,232.77 and 31,659

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Solution

The fourth proportional to 130,155, 195,232.77 and 31,659 is: 47,488.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,155 : 195,232.77 = 31,659 : x
  2. Step 2: Convert to fraction form
    130,155/195,232.77 = 31,659/x
  3. Step 3: Cross multiply
    130,155x = 195,232.77 × 31,659
  4. Step 4: Simplify right side
    130,155x = 6,180,874,265.43
  5. Step 5: Solve for x
    x = 6,180,874,265.43/130,155
  6. Step 6: Final answer
    x = 47,488.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.