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Finding the Fourth Proportional to 56,907.47, 78,532.31 and 31,413.84

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Solution

The fourth proportional to 56,907.47, 78,532.31 and 31,413.84 is: 43,351.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,907.47 : 78,532.31 = 31,413.84 : x
  2. Step 2: Convert to fraction form
    56,907.47/78,532.31 = 31,413.84/x
  3. Step 3: Cross multiply
    56,907.47x = 78,532.31 × 31,413.84
  4. Step 4: Simplify right side
    56,907.47x = 2,467,001,264.10
  5. Step 5: Solve for x
    x = 2,467,001,264.10/56,907.47
  6. Step 6: Final answer
    x = 43,351.10

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.