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Finding the Fourth Proportional to 212,894.46, 293,808.87 and 123,470.46

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Solution

The fourth proportional to 212,894.46, 293,808.87 and 123,470.46 is: 170,397.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,894.46 : 293,808.87 = 123,470.46 : x
  2. Step 2: Convert to fraction form
    212,894.46/293,808.87 = 123,470.46/x
  3. Step 3: Cross multiply
    212,894.46x = 293,808.87 × 123,470.46
  4. Step 4: Simplify right side
    212,894.46x = 36,276,716,330.98
  5. Step 5: Solve for x
    x = 36,276,716,330.98/212,894.46
  6. Step 6: Final answer
    x = 170,397.65

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.