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Finding the Fourth Proportional to 212,970.48, 319,184.32 and 113,178.48

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Solution

The fourth proportional to 212,970.48, 319,184.32 and 113,178.48 is: 169,623.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,970.48 : 319,184.32 = 113,178.48 : x
  2. Step 2: Convert to fraction form
    212,970.48/319,184.32 = 113,178.48/x
  3. Step 3: Cross multiply
    212,970.48x = 319,184.32 × 113,178.48
  4. Step 4: Simplify right side
    212,970.48x = 36,124,796,177.43
  5. Step 5: Solve for x
    x = 36,124,796,177.43/212,970.48
  6. Step 6: Final answer
    x = 169,623.49

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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.