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Finding the Fourth Proportional to 70,858.89, 97,775.10 and 40,645.49

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Solution

The fourth proportional to 70,858.89, 97,775.10 and 40,645.49 is: 56,084.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,858.89 : 97,775.10 = 40,645.49 : x
  2. Step 2: Convert to fraction form
    70,858.89/97,775.10 = 40,645.49/x
  3. Step 3: Cross multiply
    70,858.89x = 97,775.10 × 40,645.49
  4. Step 4: Simplify right side
    70,858.89x = 3,974,116,360.42
  5. Step 5: Solve for x
    x = 3,974,116,360.42/70,858.89
  6. Step 6: Final answer
    x = 56,084.94

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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.