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Finding the Fourth Proportional to 148,705.49, 205,208.03 and 80,721.02

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Solution

The fourth proportional to 148,705.49, 205,208.03 and 80,721.02 is: 111,392.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,705.49 : 205,208.03 = 80,721.02 : x
  2. Step 2: Convert to fraction form
    148,705.49/205,208.03 = 80,721.02/x
  3. Step 3: Cross multiply
    148,705.49x = 205,208.03 × 80,721.02
  4. Step 4: Simplify right side
    148,705.49x = 16,564,602,208.61
  5. Step 5: Solve for x
    x = 16,564,602,208.61/148,705.49
  6. Step 6: Final answer
    x = 111,392.00

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.