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Finding the Fourth Proportional to 75,085.54, 103,629.69 and 42,820.23

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Solution

The fourth proportional to 75,085.54, 103,629.69 and 42,820.23 is: 59,098.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,085.54 : 103,629.69 = 42,820.23 : x
  2. Step 2: Convert to fraction form
    75,085.54/103,629.69 = 42,820.23/x
  3. Step 3: Cross multiply
    75,085.54x = 103,629.69 × 42,820.23
  4. Step 4: Simplify right side
    75,085.54x = 4,437,447,160.63
  5. Step 5: Solve for x
    x = 4,437,447,160.63/75,085.54
  6. Step 6: Final answer
    x = 59,098.56

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1.5x scale

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.