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Finding the Fourth Proportional to 42,012, 63,062.64 and 25,413.92

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Solution

The fourth proportional to 42,012, 63,062.64 and 25,413.92 is: 38,147.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,012 : 63,062.64 = 25,413.92 : x
  2. Step 2: Convert to fraction form
    42,012/63,062.64 = 25,413.92/x
  3. Step 3: Cross multiply
    42,012x = 63,062.64 × 25,413.92
  4. Step 4: Simplify right side
    42,012x = 1,602,668,887.95
  5. Step 5: Solve for x
    x = 1,602,668,887.95/42,012
  6. Step 6: Final answer
    x = 38,147.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.