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Finding the Fourth Proportional to 153,364.92, 211,641.84 and 85,380

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Solution

The fourth proportional to 153,364.92, 211,641.84 and 85,380 is: 117,823.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,364.92 : 211,641.84 = 85,380 : x
  2. Step 2: Convert to fraction form
    153,364.92/211,641.84 = 85,380/x
  3. Step 3: Cross multiply
    153,364.92x = 211,641.84 × 85,380
  4. Step 4: Simplify right side
    153,364.92x = 18,069,980,299.20
  5. Step 5: Solve for x
    x = 18,069,980,299.20/153,364.92
  6. Step 6: Final answer
    x = 117,823.43

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.