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Finding the Fourth Proportional to 210,165.86, 315,235.98 and 68,008.10

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Solution

The fourth proportional to 210,165.86, 315,235.98 and 68,008.10 is: 102,008.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,165.86 : 315,235.98 = 68,008.10 : x
  2. Step 2: Convert to fraction form
    210,165.86/315,235.98 = 68,008.10/x
  3. Step 3: Cross multiply
    210,165.86x = 315,235.98 × 68,008.10
  4. Step 4: Simplify right side
    210,165.86x = 21,438,600,051.44
  5. Step 5: Solve for x
    x = 21,438,600,051.44/210,165.86
  6. Step 6: Final answer
    x = 102,008.00

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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.