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Finding the Fourth Proportional to 138,957.32, 208,465.31 and 53,570.36

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Solution

The fourth proportional to 138,957.32, 208,465.31 and 53,570.36 is: 80,366.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,957.32 : 208,465.31 = 53,570.36 : x
  2. Step 2: Convert to fraction form
    138,957.32/208,465.31 = 53,570.36/x
  3. Step 3: Cross multiply
    138,957.32x = 208,465.31 × 53,570.36
  4. Step 4: Simplify right side
    138,957.32x = 11,167,562,359.30
  5. Step 5: Solve for x
    x = 11,167,562,359.30/138,957.32
  6. Step 6: Final answer
    x = 80,366.85

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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.