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Finding the Fourth Proportional to 74,250.90, 102,465 and 41,985

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Solution

The fourth proportional to 74,250.90, 102,465 and 41,985 is: 57,938.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,250.90 : 102,465 = 41,985 : x
  2. Step 2: Convert to fraction form
    74,250.90/102,465 = 41,985/x
  3. Step 3: Cross multiply
    74,250.90x = 102,465 × 41,985
  4. Step 4: Simplify right side
    74,250.90x = 4,301,993,025
  5. Step 5: Solve for x
    x = 4,301,993,025/74,250.90
  6. Step 6: Final answer
    x = 57,938.60

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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.