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Finding the Fourth Proportional to 142,883.80, 214,424.11 and 49,389.55

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Solution

The fourth proportional to 142,883.80, 214,424.11 and 49,389.55 is: 74,118.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,883.80 : 214,424.11 = 49,389.55 : x
  2. Step 2: Convert to fraction form
    142,883.80/214,424.11 = 49,389.55/x
  3. Step 3: Cross multiply
    142,883.80x = 214,424.11 × 49,389.55
  4. Step 4: Simplify right side
    142,883.80x = 10,590,309,827.73
  5. Step 5: Solve for x
    x = 10,590,309,827.73/142,883.80
  6. Step 6: Final answer
    x = 74,118.34

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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.