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Finding the Fourth Proportional to 68,509.40, 102,762.66 and 31,573.40

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Solution

The fourth proportional to 68,509.40, 102,762.66 and 31,573.40 is: 47,359.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,509.40 : 102,762.66 = 31,573.40 : x
  2. Step 2: Convert to fraction form
    68,509.40/102,762.66 = 31,573.40/x
  3. Step 3: Cross multiply
    68,509.40x = 102,762.66 × 31,573.40
  4. Step 4: Simplify right side
    68,509.40x = 3,244,566,569.24
  5. Step 5: Solve for x
    x = 3,244,566,569.24/68,509.40
  6. Step 6: Final answer
    x = 47,359.44

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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.