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Finding the Fourth Proportional to 130,117.60, 195,097.20 and 51,137.20

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Solution

The fourth proportional to 130,117.60, 195,097.20 and 51,137.20 is: 76,674.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,117.60 : 195,097.20 = 51,137.20 : x
  2. Step 2: Convert to fraction form
    130,117.60/195,097.20 = 51,137.20/x
  3. Step 3: Cross multiply
    130,117.60x = 195,097.20 × 51,137.20
  4. Step 4: Simplify right side
    130,117.60x = 9,976,724,535.84
  5. Step 5: Solve for x
    x = 9,976,724,535.84/130,117.60
  6. Step 6: Final answer
    x = 76,674.67

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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.