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Finding the Fourth Proportional to 257,413.19, 386,134.47 and 86,566.32

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Solution

The fourth proportional to 257,413.19, 386,134.47 and 86,566.32 is: 129,854.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,413.19 : 386,134.47 = 86,566.32 : x
  2. Step 2: Convert to fraction form
    257,413.19/386,134.47 = 86,566.32/x
  3. Step 3: Cross multiply
    257,413.19x = 386,134.47 × 86,566.32
  4. Step 4: Simplify right side
    257,413.19x = 33,426,240,093.05
  5. Step 5: Solve for x
    x = 33,426,240,093.05/257,413.19
  6. Step 6: Final answer
    x = 129,854.42

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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.