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Finding the Fourth Proportional to 257,957.96, 386,926.86 and 70,964.36

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Solution

The fourth proportional to 257,957.96, 386,926.86 and 70,964.36 is: 106,443.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,957.96 : 386,926.86 = 70,964.36 : x
  2. Step 2: Convert to fraction form
    257,957.96/386,926.86 = 70,964.36/x
  3. Step 3: Cross multiply
    257,957.96x = 386,926.86 × 70,964.36
  4. Step 4: Simplify right side
    257,957.96x = 27,458,016,986.71
  5. Step 5: Solve for x
    x = 27,458,016,986.71/257,957.96
  6. Step 6: Final answer
    x = 106,443.77

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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.