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Finding the Fourth Proportional to 130,483.50, 180,067.23 and 70,867.50

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Solution

The fourth proportional to 130,483.50, 180,067.23 and 70,867.50 is: 97,797.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,483.50 : 180,067.23 = 70,867.50 : x
  2. Step 2: Convert to fraction form
    130,483.50/180,067.23 = 70,867.50/x
  3. Step 3: Cross multiply
    130,483.50x = 180,067.23 × 70,867.50
  4. Step 4: Simplify right side
    130,483.50x = 12,760,914,422.03
  5. Step 5: Solve for x
    x = 12,760,914,422.03/130,483.50
  6. Step 6: Final answer
    x = 97,797.15

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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.