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Finding the Fourth Proportional to 155,838.52, 233,903.58 and 85,621.24

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Solution

The fourth proportional to 155,838.52, 233,903.58 and 85,621.24 is: 128,511.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,838.52 : 233,903.58 = 85,621.24 : x
  2. Step 2: Convert to fraction form
    155,838.52/233,903.58 = 85,621.24/x
  3. Step 3: Cross multiply
    155,838.52x = 233,903.58 × 85,621.24
  4. Step 4: Simplify right side
    155,838.52x = 20,027,114,560.04
  5. Step 5: Solve for x
    x = 20,027,114,560.04/155,838.52
  6. Step 6: Final answer
    x = 128,511.97

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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.