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Finding the Fourth Proportional to 130,581, 180,202.92 and 70,965

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Solution

The fourth proportional to 130,581, 180,202.92 and 70,965 is: 97,932.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,581 : 180,202.92 = 70,965 : x
  2. Step 2: Convert to fraction form
    130,581/180,202.92 = 70,965/x
  3. Step 3: Cross multiply
    130,581x = 180,202.92 × 70,965
  4. Step 4: Simplify right side
    130,581x = 12,788,100,217.80
  5. Step 5: Solve for x
    x = 12,788,100,217.80/130,581
  6. Step 6: Final answer
    x = 97,932.32

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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.