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Finding the Fourth Proportional to 145,955.54, 218,942.56 and 61,700

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Solution

The fourth proportional to 145,955.54, 218,942.56 and 61,700 is: 92,553.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,955.54 : 218,942.56 = 61,700 : x
  2. Step 2: Convert to fraction form
    145,955.54/218,942.56 = 61,700/x
  3. Step 3: Cross multiply
    145,955.54x = 218,942.56 × 61,700
  4. Step 4: Simplify right side
    145,955.54x = 13,508,755,952
  5. Step 5: Solve for x
    x = 13,508,755,952/145,955.54
  6. Step 6: Final answer
    x = 92,553.91

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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.