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Finding the Fourth Proportional to 42,409, 58,525.19 and 23,290.57

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Solution

The fourth proportional to 42,409, 58,525.19 and 23,290.57 is: 32,141.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,409 : 58,525.19 = 23,290.57 : x
  2. Step 2: Convert to fraction form
    42,409/58,525.19 = 23,290.57/x
  3. Step 3: Cross multiply
    42,409x = 58,525.19 × 23,290.57
  4. Step 4: Simplify right side
    42,409x = 1,363,085,034.46
  5. Step 5: Solve for x
    x = 1,363,085,034.46/42,409
  6. Step 6: Final answer
    x = 32,141.41

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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.