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Finding the Fourth Proportional to 208,143.90, 312,340.40 and 89,815.24

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Solution

The fourth proportional to 208,143.90, 312,340.40 and 89,815.24 is: 134,776.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,143.90 : 312,340.40 = 89,815.24 : x
  2. Step 2: Convert to fraction form
    208,143.90/312,340.40 = 89,815.24/x
  3. Step 3: Cross multiply
    208,143.90x = 312,340.40 × 89,815.24
  4. Step 4: Simplify right side
    208,143.90x = 28,052,927,987.70
  5. Step 5: Solve for x
    x = 28,052,927,987.70/208,143.90
  6. Step 6: Final answer
    x = 134,776.60

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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.