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Finding the Fourth Proportional to 86,595.40, 129,860.70 and 30,413.80

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Solution

The fourth proportional to 86,595.40, 129,860.70 and 30,413.80 is: 45,609.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,595.40 : 129,860.70 = 30,413.80 : x
  2. Step 2: Convert to fraction form
    86,595.40/129,860.70 = 30,413.80/x
  3. Step 3: Cross multiply
    86,595.40x = 129,860.70 × 30,413.80
  4. Step 4: Simplify right side
    86,595.40x = 3,949,557,357.66
  5. Step 5: Solve for x
    x = 3,949,557,357.66/86,595.40
  6. Step 6: Final answer
    x = 45,609.32

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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.