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Finding the Fourth Proportional to 130,057.60, 195,007.20 and 51,077.20

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Solution

The fourth proportional to 130,057.60, 195,007.20 and 51,077.20 is: 76,584.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,057.60 : 195,007.20 = 51,077.20 : x
  2. Step 2: Convert to fraction form
    130,057.60/195,007.20 = 51,077.20/x
  3. Step 3: Cross multiply
    130,057.60x = 195,007.20 × 51,077.20
  4. Step 4: Simplify right side
    130,057.60x = 9,960,421,755.84
  5. Step 5: Solve for x
    x = 9,960,421,755.84/130,057.60
  6. Step 6: Final answer
    x = 76,584.70

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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.