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Finding the Fourth Proportional to 212,362.17, 318,542.93 and 145,599.90

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Solution

The fourth proportional to 212,362.17, 318,542.93 and 145,599.90 is: 218,399.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,362.17 : 318,542.93 = 145,599.90 : x
  2. Step 2: Convert to fraction form
    212,362.17/318,542.93 = 145,599.90/x
  3. Step 3: Cross multiply
    212,362.17x = 318,542.93 × 145,599.90
  4. Step 4: Simplify right side
    212,362.17x = 46,379,818,753.71
  5. Step 5: Solve for x
    x = 46,379,818,753.71/212,362.17
  6. Step 6: Final answer
    x = 218,399.63

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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.