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Finding the Fourth Proportional to 205,130.40, 307,522.80 and 106,634.40

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Solution

The fourth proportional to 205,130.40, 307,522.80 and 106,634.40 is: 159,861.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,130.40 : 307,522.80 = 106,634.40 : x
  2. Step 2: Convert to fraction form
    205,130.40/307,522.80 = 106,634.40/x
  3. Step 3: Cross multiply
    205,130.40x = 307,522.80 × 106,634.40
  4. Step 4: Simplify right side
    205,130.40x = 32,792,509,264.32
  5. Step 5: Solve for x
    x = 32,792,509,264.32/205,130.40
  6. Step 6: Final answer
    x = 159,861.77

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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.