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Finding the Fourth Proportional to 155,697.84, 233,538.12 and 138,366

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Solution

The fourth proportional to 155,697.84, 233,538.12 and 138,366 is: 207,541.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,697.84 : 233,538.12 = 138,366 : x
  2. Step 2: Convert to fraction form
    155,697.84/233,538.12 = 138,366/x
  3. Step 3: Cross multiply
    155,697.84x = 233,538.12 × 138,366
  4. Step 4: Simplify right side
    155,697.84x = 32,313,735,511.92
  5. Step 5: Solve for x
    x = 32,313,735,511.92/155,697.84
  6. Step 6: Final answer
    x = 207,541.32

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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.