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Finding the Fourth Proportional to 140,295.86, 210,474.88 and 40,448.26

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Solution

The fourth proportional to 140,295.86, 210,474.88 and 40,448.26 is: 60,681.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,295.86 : 210,474.88 = 40,448.26 : x
  2. Step 2: Convert to fraction form
    140,295.86/210,474.88 = 40,448.26/x
  3. Step 3: Cross multiply
    140,295.86x = 210,474.88 × 40,448.26
  4. Step 4: Simplify right side
    140,295.86x = 8,513,342,664.56
  5. Step 5: Solve for x
    x = 8,513,342,664.56/140,295.86
  6. Step 6: Final answer
    x = 60,681.35

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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.