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Finding the Fourth Proportional to 257,654.61, 386,431.06 and 86,859.42

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Solution

The fourth proportional to 257,654.61, 386,431.06 and 86,859.42 is: 130,271.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,654.61 : 386,431.06 = 86,859.42 : x
  2. Step 2: Convert to fraction form
    257,654.61/386,431.06 = 86,859.42/x
  3. Step 3: Cross multiply
    257,654.61x = 386,431.06 × 86,859.42
  4. Step 4: Simplify right side
    257,654.61x = 33,565,177,741.59
  5. Step 5: Solve for x
    x = 33,565,177,741.59/257,654.61
  6. Step 6: Final answer
    x = 130,271.99

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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.