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Finding the Fourth Proportional to 212,726.72, 319,164.32 and 141,932.48

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Solution

The fourth proportional to 212,726.72, 319,164.32 and 141,932.48 is: 212,948.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,726.72 : 319,164.32 = 141,932.48 : x
  2. Step 2: Convert to fraction form
    212,726.72/319,164.32 = 141,932.48/x
  3. Step 3: Cross multiply
    212,726.72x = 319,164.32 × 141,932.48
  4. Step 4: Simplify right side
    212,726.72x = 45,299,783,465.11
  5. Step 5: Solve for x
    x = 45,299,783,465.11/212,726.72
  6. Step 6: Final answer
    x = 212,948.25

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1.5x scale

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.