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Finding the Fourth Proportional to 90,153.84, 135,238 and 30,989.52

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Solution

The fourth proportional to 90,153.84, 135,238 and 30,989.52 is: 46,486.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,153.84 : 135,238 = 30,989.52 : x
  2. Step 2: Convert to fraction form
    90,153.84/135,238 = 30,989.52/x
  3. Step 3: Cross multiply
    90,153.84x = 135,238 × 30,989.52
  4. Step 4: Simplify right side
    90,153.84x = 4,190,960,705.76
  5. Step 5: Solve for x
    x = 4,190,960,705.76/90,153.84
  6. Step 6: Final answer
    x = 46,486.77

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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.