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Finding the Fourth Proportional to 145,756.68, 218,296 and 140,705.68

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Solution

The fourth proportional to 145,756.68, 218,296 and 140,705.68 is: 210,731.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,756.68 : 218,296 = 140,705.68 : x
  2. Step 2: Convert to fraction form
    145,756.68/218,296 = 140,705.68/x
  3. Step 3: Cross multiply
    145,756.68x = 218,296 × 140,705.68
  4. Step 4: Simplify right side
    145,756.68x = 30,715,487,121.28
  5. Step 5: Solve for x
    x = 30,715,487,121.28/145,756.68
  6. Step 6: Final answer
    x = 210,731.25

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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.