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Finding the Fourth Proportional to 130,393.62, 195,656.04 and 97,180.38

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Solution

The fourth proportional to 130,393.62, 195,656.04 and 97,180.38 is: 145,819.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,393.62 : 195,656.04 = 97,180.38 : x
  2. Step 2: Convert to fraction form
    130,393.62/195,656.04 = 97,180.38/x
  3. Step 3: Cross multiply
    130,393.62x = 195,656.04 × 97,180.38
  4. Step 4: Simplify right side
    130,393.62x = 19,013,928,316.50
  5. Step 5: Solve for x
    x = 19,013,928,316.50/130,393.62
  6. Step 6: Final answer
    x = 145,819.47

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1.5x scale

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.