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Finding the Fourth Proportional to 257,686.79, 355,624.59 and 148,795.73

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Solution

The fourth proportional to 257,686.79, 355,624.59 and 148,795.73 is: 205,347.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,686.79 : 355,624.59 = 148,795.73 : x
  2. Step 2: Convert to fraction form
    257,686.79/355,624.59 = 148,795.73/x
  3. Step 3: Cross multiply
    257,686.79x = 355,624.59 × 148,795.73
  4. Step 4: Simplify right side
    257,686.79x = 52,915,419,588.26
  5. Step 5: Solve for x
    x = 52,915,419,588.26/257,686.79
  6. Step 6: Final answer
    x = 205,347.81

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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.