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Finding the Fourth Proportional to 169,920, 254,909.16 and 51,603.30

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Solution

The fourth proportional to 169,920, 254,909.16 and 51,603.30 is: 77,413.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,920 : 254,909.16 = 51,603.30 : x
  2. Step 2: Convert to fraction form
    169,920/254,909.16 = 51,603.30/x
  3. Step 3: Cross multiply
    169,920x = 254,909.16 × 51,603.30
  4. Step 4: Simplify right side
    169,920x = 13,154,153,856.23
  5. Step 5: Solve for x
    x = 13,154,153,856.23/169,920
  6. Step 6: Final answer
    x = 77,413.81

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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.