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Finding the Fourth Proportional to 259,802.40, 389,622.60 and 102,079.20

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Solution

The fourth proportional to 259,802.40, 389,622.60 and 102,079.20 is: 153,086.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,802.40 : 389,622.60 = 102,079.20 : x
  2. Step 2: Convert to fraction form
    259,802.40/389,622.60 = 102,079.20/x
  3. Step 3: Cross multiply
    259,802.40x = 389,622.60 × 102,079.20
  4. Step 4: Simplify right side
    259,802.40x = 39,772,363,309.92
  5. Step 5: Solve for x
    x = 39,772,363,309.92/259,802.40
  6. Step 6: Final answer
    x = 153,086.97

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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.