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Finding the Fourth Proportional to 130,299, 195,117.71 and 109,183.52

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Solution

The fourth proportional to 130,299, 195,117.71 and 109,183.52 is: 163,498.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,299 : 195,117.71 = 109,183.52 : x
  2. Step 2: Convert to fraction form
    130,299/195,117.71 = 109,183.52/x
  3. Step 3: Cross multiply
    130,299x = 195,117.71 × 109,183.52
  4. Step 4: Simplify right side
    130,299x = 21,303,636,870.63
  5. Step 5: Solve for x
    x = 21,303,636,870.63/130,299
  6. Step 6: Final answer
    x = 163,498.08

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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.