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Finding the Fourth Proportional to 68,498.56, 102,646.80 and 31,070.08

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Solution

The fourth proportional to 68,498.56, 102,646.80 and 31,070.08 is: 46,559.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,498.56 : 102,646.80 = 31,070.08 : x
  2. Step 2: Convert to fraction form
    68,498.56/102,646.80 = 31,070.08/x
  3. Step 3: Cross multiply
    68,498.56x = 102,646.80 × 31,070.08
  4. Step 4: Simplify right side
    68,498.56x = 3,189,244,287.74
  5. Step 5: Solve for x
    x = 3,189,244,287.74/68,498.56
  6. Step 6: Final answer
    x = 46,559.29

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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.