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Finding the Fourth Proportional to 57,413.93, 86,130.12 and 19,984.64

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Solution

The fourth proportional to 57,413.93, 86,130.12 and 19,984.64 is: 29,980.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,413.93 : 86,130.12 = 19,984.64 : x
  2. Step 2: Convert to fraction form
    57,413.93/86,130.12 = 19,984.64/x
  3. Step 3: Cross multiply
    57,413.93x = 86,130.12 × 19,984.64
  4. Step 4: Simplify right side
    57,413.93x = 1,721,279,010.71
  5. Step 5: Solve for x
    x = 1,721,279,010.71/57,413.93
  6. Step 6: Final answer
    x = 29,980.17

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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.