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Finding the Fourth Proportional to 130,566, 180,182.22 and 70,950

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Solution

The fourth proportional to 130,566, 180,182.22 and 70,950 is: 97,911.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,566 : 180,182.22 = 70,950 : x
  2. Step 2: Convert to fraction form
    130,566/180,182.22 = 70,950/x
  3. Step 3: Cross multiply
    130,566x = 180,182.22 × 70,950
  4. Step 4: Simplify right side
    130,566x = 12,783,928,509
  5. Step 5: Solve for x
    x = 12,783,928,509/130,566
  6. Step 6: Final answer
    x = 97,911.62

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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.