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Finding the Fourth Proportional to 139,477.20, 209,215.80 and 86,211.60

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Solution

The fourth proportional to 139,477.20, 209,215.80 and 86,211.60 is: 129,317.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,477.20 : 209,215.80 = 86,211.60 : x
  2. Step 2: Convert to fraction form
    139,477.20/209,215.80 = 86,211.60/x
  3. Step 3: Cross multiply
    139,477.20x = 209,215.80 × 86,211.60
  4. Step 4: Simplify right side
    139,477.20x = 18,036,828,863.28
  5. Step 5: Solve for x
    x = 18,036,828,863.28/139,477.20
  6. Step 6: Final answer
    x = 129,317.40

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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.