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Finding the Fourth Proportional to 143,198.34, 214,798.08 and 48,429

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Solution

The fourth proportional to 143,198.34, 214,798.08 and 48,429 is: 72,643.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,198.34 : 214,798.08 = 48,429 : x
  2. Step 2: Convert to fraction form
    143,198.34/214,798.08 = 48,429/x
  3. Step 3: Cross multiply
    143,198.34x = 214,798.08 × 48,429
  4. Step 4: Simplify right side
    143,198.34x = 10,402,456,216.32
  5. Step 5: Solve for x
    x = 10,402,456,216.32/143,198.34
  6. Step 6: Final answer
    x = 72,643.69

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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.