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Finding the Fourth Proportional to 74,420.94, 102,702.51 and 40,889.10

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Solution

The fourth proportional to 74,420.94, 102,702.51 and 40,889.10 is: 56,427.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,420.94 : 102,702.51 = 40,889.10 : x
  2. Step 2: Convert to fraction form
    74,420.94/102,702.51 = 40,889.10/x
  3. Step 3: Cross multiply
    74,420.94x = 102,702.51 × 40,889.10
  4. Step 4: Simplify right side
    74,420.94x = 4,199,413,201.64
  5. Step 5: Solve for x
    x = 4,199,413,201.64/74,420.94
  6. Step 6: Final answer
    x = 56,427.84

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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.