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Finding the Fourth Proportional to 212,951.40, 319,427.10 and 159,807.30

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Solution

The fourth proportional to 212,951.40, 319,427.10 and 159,807.30 is: 239,710.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,951.40 : 319,427.10 = 159,807.30 : x
  2. Step 2: Convert to fraction form
    212,951.40/319,427.10 = 159,807.30/x
  3. Step 3: Cross multiply
    212,951.40x = 319,427.10 × 159,807.30
  4. Step 4: Simplify right side
    212,951.40x = 51,046,782,397.83
  5. Step 5: Solve for x
    x = 51,046,782,397.83/212,951.40
  6. Step 6: Final answer
    x = 239,710.95

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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.