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Finding the Fourth Proportional to 206,990.63, 310,485.95 and 64,837.12

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Solution

The fourth proportional to 206,990.63, 310,485.95 and 64,837.12 is: 97,255.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,990.63 : 310,485.95 = 64,837.12 : x
  2. Step 2: Convert to fraction form
    206,990.63/310,485.95 = 64,837.12/x
  3. Step 3: Cross multiply
    206,990.63x = 310,485.95 × 64,837.12
  4. Step 4: Simplify right side
    206,990.63x = 20,131,014,798.46
  5. Step 5: Solve for x
    x = 20,131,014,798.46/206,990.63
  6. Step 6: Final answer
    x = 97,255.68

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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.