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Finding the Fourth Proportional to 257,678.45, 386,511.35 and 99,906.95

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Solution

The fourth proportional to 257,678.45, 386,511.35 and 99,906.95 is: 149,857.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,678.45 : 386,511.35 = 99,906.95 : x
  2. Step 2: Convert to fraction form
    257,678.45/386,511.35 = 99,906.95/x
  3. Step 3: Cross multiply
    257,678.45x = 386,511.35 × 99,906.95
  4. Step 4: Simplify right side
    257,678.45x = 38,615,170,585.63
  5. Step 5: Solve for x
    x = 38,615,170,585.63/257,678.45
  6. Step 6: Final answer
    x = 149,857.98

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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.