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Finding the Fourth Proportional to 130,101.84, 179,538.16 and 73,512

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Solution

The fourth proportional to 130,101.84, 179,538.16 and 73,512 is: 101,445.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,101.84 : 179,538.16 = 73,512 : x
  2. Step 2: Convert to fraction form
    130,101.84/179,538.16 = 73,512/x
  3. Step 3: Cross multiply
    130,101.84x = 179,538.16 × 73,512
  4. Step 4: Simplify right side
    130,101.84x = 13,198,209,217.92
  5. Step 5: Solve for x
    x = 13,198,209,217.92/130,101.84
  6. Step 6: Final answer
    x = 101,445.22

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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.