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Finding the Fourth Proportional to 210,943.20, 316,414.80 and 63,199.20

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Solution

The fourth proportional to 210,943.20, 316,414.80 and 63,199.20 is: 94,798.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,943.20 : 316,414.80 = 63,199.20 : x
  2. Step 2: Convert to fraction form
    210,943.20/316,414.80 = 63,199.20/x
  3. Step 3: Cross multiply
    210,943.20x = 316,414.80 × 63,199.20
  4. Step 4: Simplify right side
    210,943.20x = 19,997,162,228.16
  5. Step 5: Solve for x
    x = 19,997,162,228.16/210,943.20
  6. Step 6: Final answer
    x = 94,798.80

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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.