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Finding the Fourth Proportional to 205,110.40, 307,492.80 and 106,614.40

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Solution

The fourth proportional to 205,110.40, 307,492.80 and 106,614.40 is: 159,831.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,110.40 : 307,492.80 = 106,614.40 : x
  2. Step 2: Convert to fraction form
    205,110.40/307,492.80 = 106,614.40/x
  3. Step 3: Cross multiply
    205,110.40x = 307,492.80 × 106,614.40
  4. Step 4: Simplify right side
    205,110.40x = 32,783,160,376.32
  5. Step 5: Solve for x
    x = 32,783,160,376.32/205,110.40
  6. Step 6: Final answer
    x = 159,831.78

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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.