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Finding the Fourth Proportional to 145,957.54, 218,945.56 and 61,702

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Solution

The fourth proportional to 145,957.54, 218,945.56 and 61,702 is: 92,556.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,957.54 : 218,945.56 = 61,702 : x
  2. Step 2: Convert to fraction form
    145,957.54/218,945.56 = 61,702/x
  3. Step 3: Cross multiply
    145,957.54x = 218,945.56 × 61,702
  4. Step 4: Simplify right side
    145,957.54x = 13,509,378,943.12
  5. Step 5: Solve for x
    x = 13,509,378,943.12/145,957.54
  6. Step 6: Final answer
    x = 92,556.91

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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.