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Finding the Fourth Proportional to 148,548, 204,999.36 and 81,480

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Solution

The fourth proportional to 148,548, 204,999.36 and 81,480 is: 112,444.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,548 : 204,999.36 = 81,480 : x
  2. Step 2: Convert to fraction form
    148,548/204,999.36 = 81,480/x
  3. Step 3: Cross multiply
    148,548x = 204,999.36 × 81,480
  4. Step 4: Simplify right side
    148,548x = 16,703,347,852.80
  5. Step 5: Solve for x
    x = 16,703,347,852.80/148,548
  6. Step 6: Final answer
    x = 112,444.11

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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.