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Finding the Fourth Proportional to 248,145.40, 371,807.70 and 142,780.60

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Solution

The fourth proportional to 248,145.40, 371,807.70 and 142,780.60 is: 213,934.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    248,145.40 : 371,807.70 = 142,780.60 : x
  2. Step 2: Convert to fraction form
    248,145.40/371,807.70 = 142,780.60/x
  3. Step 3: Cross multiply
    248,145.40x = 371,807.70 × 142,780.60
  4. Step 4: Simplify right side
    248,145.40x = 53,086,926,490.62
  5. Step 5: Solve for x
    x = 53,086,926,490.62/248,145.40
  6. Step 6: Final answer
    x = 213,934.76

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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.