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Finding the Fourth Proportional to 85,258, 127,938.84 and 36,010

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Solution

The fourth proportional to 85,258, 127,938.84 and 36,010 is: 54,036.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,258 : 127,938.84 = 36,010 : x
  2. Step 2: Convert to fraction form
    85,258/127,938.84 = 36,010/x
  3. Step 3: Cross multiply
    85,258x = 127,938.84 × 36,010
  4. Step 4: Simplify right side
    85,258x = 4,607,077,628.40
  5. Step 5: Solve for x
    x = 4,607,077,628.40/85,258
  6. Step 6: Final answer
    x = 54,036.90

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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.