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Finding the Fourth Proportional to 208,143.58, 312,339.92 and 89,814.92

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Solution

The fourth proportional to 208,143.58, 312,339.92 and 89,814.92 is: 134,776.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,143.58 : 312,339.92 = 89,814.92 : x
  2. Step 2: Convert to fraction form
    208,143.58/312,339.92 = 89,814.92/x
  3. Step 3: Cross multiply
    208,143.58x = 312,339.92 × 89,814.92
  4. Step 4: Simplify right side
    208,143.58x = 28,052,784,927.61
  5. Step 5: Solve for x
    x = 28,052,784,927.61/208,143.58
  6. Step 6: Final answer
    x = 134,776.12

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1.5x scale

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.