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Finding the Fourth Proportional to 205,040.76, 307,582.86 and 86,724.06

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Solution

The fourth proportional to 205,040.76, 307,582.86 and 86,724.06 is: 130,095.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,040.76 : 307,582.86 = 86,724.06 : x
  2. Step 2: Convert to fraction form
    205,040.76/307,582.86 = 86,724.06/x
  3. Step 3: Cross multiply
    205,040.76x = 307,582.86 × 86,724.06
  4. Step 4: Simplify right side
    205,040.76x = 26,674,834,405.61
  5. Step 5: Solve for x
    x = 26,674,834,405.61/205,040.76
  6. Step 6: Final answer
    x = 130,095.28

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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.