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Finding the Fourth Proportional to 86,522, 119,413.32 and 53,007.44

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Solution

The fourth proportional to 86,522, 119,413.32 and 53,007.44 is: 73,158.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,522 : 119,413.32 = 53,007.44 : x
  2. Step 2: Convert to fraction form
    86,522/119,413.32 = 53,007.44/x
  3. Step 3: Cross multiply
    86,522x = 119,413.32 × 53,007.44
  4. Step 4: Simplify right side
    86,522x = 6,329,794,395.10
  5. Step 5: Solve for x
    x = 6,329,794,395.10/86,522
  6. Step 6: Final answer
    x = 73,158.21

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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.