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Finding the Fourth Proportional to 257,913.66, 386,804.88 and 100,056

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Solution

The fourth proportional to 257,913.66, 386,804.88 and 100,056 is: 150,058.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,913.66 : 386,804.88 = 100,056 : x
  2. Step 2: Convert to fraction form
    257,913.66/386,804.88 = 100,056/x
  3. Step 3: Cross multiply
    257,913.66x = 386,804.88 × 100,056
  4. Step 4: Simplify right side
    257,913.66x = 38,702,149,073.28
  5. Step 5: Solve for x
    x = 38,702,149,073.28/257,913.66
  6. Step 6: Final answer
    x = 150,058.55

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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.