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Finding the Fourth Proportional to 102,323.97, 153,520.11 and 45,390.02

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Solution

The fourth proportional to 102,323.97, 153,520.11 and 45,390.02 is: 68,100.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,323.97 : 153,520.11 = 45,390.02 : x
  2. Step 2: Convert to fraction form
    102,323.97/153,520.11 = 45,390.02/x
  3. Step 3: Cross multiply
    102,323.97x = 153,520.11 × 45,390.02
  4. Step 4: Simplify right side
    102,323.97x = 6,968,280,940.95
  5. Step 5: Solve for x
    x = 6,968,280,940.95/102,323.97
  6. Step 6: Final answer
    x = 68,100.18

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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.