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Finding the Fourth Proportional to 76,805.97, 105,998.40 and 42,825.53

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Solution

The fourth proportional to 76,805.97, 105,998.40 and 42,825.53 is: 59,102.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,805.97 : 105,998.40 = 42,825.53 : x
  2. Step 2: Convert to fraction form
    76,805.97/105,998.40 = 42,825.53/x
  3. Step 3: Cross multiply
    76,805.97x = 105,998.40 × 42,825.53
  4. Step 4: Simplify right side
    76,805.97x = 4,539,437,129.16
  5. Step 5: Solve for x
    x = 4,539,437,129.16/76,805.97
  6. Step 6: Final answer
    x = 59,102.66

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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.