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Finding the Fourth Proportional to 212,498.54, 293,258.76 and 120,624.30

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Solution

The fourth proportional to 212,498.54, 293,258.76 and 120,624.30 is: 166,467.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,498.54 : 293,258.76 = 120,624.30 : x
  2. Step 2: Convert to fraction form
    212,498.54/293,258.76 = 120,624.30/x
  3. Step 3: Cross multiply
    212,498.54x = 293,258.76 × 120,624.30
  4. Step 4: Simplify right side
    212,498.54x = 35,374,132,643.87
  5. Step 5: Solve for x
    x = 35,374,132,643.87/212,498.54
  6. Step 6: Final answer
    x = 166,467.65

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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.