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Finding the Fourth Proportional to 253,485.71, 380,092.16 and 101,606.55

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Solution

The fourth proportional to 253,485.71, 380,092.16 and 101,606.55 is: 152,355.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,485.71 : 380,092.16 = 101,606.55 : x
  2. Step 2: Convert to fraction form
    253,485.71/380,092.16 = 101,606.55/x
  3. Step 3: Cross multiply
    253,485.71x = 380,092.16 × 101,606.55
  4. Step 4: Simplify right side
    253,485.71x = 38,619,852,551.62
  5. Step 5: Solve for x
    x = 38,619,852,551.62/253,485.71
  6. Step 6: Final answer
    x = 152,355.15

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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.