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Finding the Fourth Proportional to 162,138.54, 223,724.48 and 90,507

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Solution

The fourth proportional to 162,138.54, 223,724.48 and 90,507 is: 124,884.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,138.54 : 223,724.48 = 90,507 : x
  2. Step 2: Convert to fraction form
    162,138.54/223,724.48 = 90,507/x
  3. Step 3: Cross multiply
    162,138.54x = 223,724.48 × 90,507
  4. Step 4: Simplify right side
    162,138.54x = 20,248,631,511.36
  5. Step 5: Solve for x
    x = 20,248,631,511.36/162,138.54
  6. Step 6: Final answer
    x = 124,884.75

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1.5x scale

Why These Related Problems?

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