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Finding the Fourth Proportional to 78,574.97, 108,431.40 and 42,764.24

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Solution

The fourth proportional to 78,574.97, 108,431.40 and 42,764.24 is: 59,013.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,574.97 : 108,431.40 = 42,764.24 : x
  2. Step 2: Convert to fraction form
    78,574.97/108,431.40 = 42,764.24/x
  3. Step 3: Cross multiply
    78,574.97x = 108,431.40 × 42,764.24
  4. Step 4: Simplify right side
    78,574.97x = 4,636,986,413.14
  5. Step 5: Solve for x
    x = 4,636,986,413.14/78,574.97
  6. Step 6: Final answer
    x = 59,013.53

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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.