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Finding the Fourth Proportional to 69,807.29, 96,302.84 and 47,139.03

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Solution

The fourth proportional to 69,807.29, 96,302.84 and 47,139.03 is: 65,030.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,807.29 : 96,302.84 = 47,139.03 : x
  2. Step 2: Convert to fraction form
    69,807.29/96,302.84 = 47,139.03/x
  3. Step 3: Cross multiply
    69,807.29x = 96,302.84 × 47,139.03
  4. Step 4: Simplify right side
    69,807.29x = 4,539,622,228.15
  5. Step 5: Solve for x
    x = 4,539,622,228.15/69,807.29
  6. Step 6: Final answer
    x = 65,030.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.