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Finding the Fourth Proportional to 137,246.40, 205,466.40 and 102,340.80

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Solution

The fourth proportional to 137,246.40, 205,466.40 and 102,340.80 is: 153,210.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,246.40 : 205,466.40 = 102,340.80 : x
  2. Step 2: Convert to fraction form
    137,246.40/205,466.40 = 102,340.80/x
  3. Step 3: Cross multiply
    137,246.40x = 205,466.40 × 102,340.80
  4. Step 4: Simplify right side
    137,246.40x = 21,027,595,749.12
  5. Step 5: Solve for x
    x = 21,027,595,749.12/137,246.40
  6. Step 6: Final answer
    x = 153,210.55

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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.