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Finding the Fourth Proportional to 130,585, 180,207.30 and 77,593

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Solution

The fourth proportional to 130,585, 180,207.30 and 77,593 is: 107,078.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,585 : 180,207.30 = 77,593 : x
  2. Step 2: Convert to fraction form
    130,585/180,207.30 = 77,593/x
  3. Step 3: Cross multiply
    130,585x = 180,207.30 × 77,593
  4. Step 4: Simplify right side
    130,585x = 13,982,825,028.90
  5. Step 5: Solve for x
    x = 13,982,825,028.90/130,585
  6. Step 6: Final answer
    x = 107,078.34

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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.