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Finding the Fourth Proportional to 212,216.80, 292,864.72 and 116,726

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Solution

The fourth proportional to 212,216.80, 292,864.72 and 116,726 is: 161,084.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,216.80 : 292,864.72 = 116,726 : x
  2. Step 2: Convert to fraction form
    212,216.80/292,864.72 = 116,726/x
  3. Step 3: Cross multiply
    212,216.80x = 292,864.72 × 116,726
  4. Step 4: Simplify right side
    212,216.80x = 34,184,927,306.72
  5. Step 5: Solve for x
    x = 34,184,927,306.72/212,216.80
  6. Step 6: Final answer
    x = 161,084.92

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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.