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Finding the Fourth Proportional to 212,226, 292,913.49 and 121,642.70

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Solution

The fourth proportional to 212,226, 292,913.49 and 121,642.70 is: 167,890.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,226 : 292,913.49 = 121,642.70 : x
  2. Step 2: Convert to fraction form
    212,226/292,913.49 = 121,642.70/x
  3. Step 3: Cross multiply
    212,226x = 292,913.49 × 121,642.70
  4. Step 4: Simplify right side
    212,226x = 35,630,786,325.46
  5. Step 5: Solve for x
    x = 35,630,786,325.46/212,226
  6. Step 6: Final answer
    x = 167,890.77

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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.