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Finding the Fourth Proportional to 139,970.77, 193,163.34 and 86,291.26

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Solution

The fourth proportional to 139,970.77, 193,163.34 and 86,291.26 is: 119,084.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,970.77 : 193,163.34 = 86,291.26 : x
  2. Step 2: Convert to fraction form
    139,970.77/193,163.34 = 86,291.26/x
  3. Step 3: Cross multiply
    139,970.77x = 193,163.34 × 86,291.26
  4. Step 4: Simplify right side
    139,970.77x = 16,668,307,994.41
  5. Step 5: Solve for x
    x = 16,668,307,994.41/139,970.77
  6. Step 6: Final answer
    x = 119,084.21

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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.