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Finding the Fourth Proportional to 100,258, 149,971.53 and 76,385

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Solution

The fourth proportional to 100,258, 149,971.53 and 76,385 is: 114,260.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,258 : 149,971.53 = 76,385 : x
  2. Step 2: Convert to fraction form
    100,258/149,971.53 = 76,385/x
  3. Step 3: Cross multiply
    100,258x = 149,971.53 × 76,385
  4. Step 4: Simplify right side
    100,258x = 11,455,575,319.05
  5. Step 5: Solve for x
    x = 11,455,575,319.05/100,258
  6. Step 6: Final answer
    x = 114,260.96

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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.