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Finding the Fourth Proportional to 203,142.90, 304,762.96 and 84,748.44

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Solution

The fourth proportional to 203,142.90, 304,762.96 and 84,748.44 is: 127,142.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,142.90 : 304,762.96 = 84,748.44 : x
  2. Step 2: Convert to fraction form
    203,142.90/304,762.96 = 84,748.44/x
  3. Step 3: Cross multiply
    203,142.90x = 304,762.96 × 84,748.44
  4. Step 4: Simplify right side
    203,142.90x = 25,828,185,429.78
  5. Step 5: Solve for x
    x = 25,828,185,429.78/203,142.90
  6. Step 6: Final answer
    x = 127,142.94

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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.