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Finding the Fourth Proportional to 149,079.51, 205,726.03 and 85,413.21

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Solution

The fourth proportional to 149,079.51, 205,726.03 and 85,413.21 is: 117,868.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,079.51 : 205,726.03 = 85,413.21 : x
  2. Step 2: Convert to fraction form
    149,079.51/205,726.03 = 85,413.21/x
  3. Step 3: Cross multiply
    149,079.51x = 205,726.03 × 85,413.21
  4. Step 4: Simplify right side
    149,079.51x = 17,571,720,602.86
  5. Step 5: Solve for x
    x = 17,571,720,602.86/149,079.51
  6. Step 6: Final answer
    x = 117,868.11

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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.