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Finding the Fourth Proportional to 122,435.80, 183,653.70 and 102,752.80

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Solution

The fourth proportional to 122,435.80, 183,653.70 and 102,752.80 is: 154,129.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,435.80 : 183,653.70 = 102,752.80 : x
  2. Step 2: Convert to fraction form
    122,435.80/183,653.70 = 102,752.80/x
  3. Step 3: Cross multiply
    122,435.80x = 183,653.70 × 102,752.80
  4. Step 4: Simplify right side
    122,435.80x = 18,870,931,905.36
  5. Step 5: Solve for x
    x = 18,870,931,905.36/122,435.80
  6. Step 6: Final answer
    x = 154,129.20

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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.