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Finding the Fourth Proportional to 153,481.68, 211,805.04 and 86,413.68

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Solution

The fourth proportional to 153,481.68, 211,805.04 and 86,413.68 is: 119,251.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,481.68 : 211,805.04 = 86,413.68 : x
  2. Step 2: Convert to fraction form
    153,481.68/211,805.04 = 86,413.68/x
  3. Step 3: Cross multiply
    153,481.68x = 211,805.04 × 86,413.68
  4. Step 4: Simplify right side
    153,481.68x = 18,302,852,948.95
  5. Step 5: Solve for x
    x = 18,302,852,948.95/153,481.68
  6. Step 6: Final answer
    x = 119,251.06

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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.