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Finding the Fourth Proportional to 208,690.56, 312,776.64 and 97,649.28

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Solution

The fourth proportional to 208,690.56, 312,776.64 and 97,649.28 is: 146,352.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,690.56 : 312,776.64 = 97,649.28 : x
  2. Step 2: Convert to fraction form
    208,690.56/312,776.64 = 97,649.28/x
  3. Step 3: Cross multiply
    208,690.56x = 312,776.64 × 97,649.28
  4. Step 4: Simplify right side
    208,690.56x = 30,542,413,696.82
  5. Step 5: Solve for x
    x = 30,542,413,696.82/208,690.56
  6. Step 6: Final answer
    x = 146,352.64

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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.