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Finding the Fourth Proportional to 103,802, 143,246.92 and 59,090

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Solution

The fourth proportional to 103,802, 143,246.92 and 59,090 is: 81,544.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,802 : 143,246.92 = 59,090 : x
  2. Step 2: Convert to fraction form
    103,802/143,246.92 = 59,090/x
  3. Step 3: Cross multiply
    103,802x = 143,246.92 × 59,090
  4. Step 4: Simplify right side
    103,802x = 8,464,460,502.80
  5. Step 5: Solve for x
    x = 8,464,460,502.80/103,802
  6. Step 6: Final answer
    x = 81,544.29

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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.