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Finding the Fourth Proportional to 74,689, 103,072.98 and 41,157.16

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Solution

The fourth proportional to 74,689, 103,072.98 and 41,157.16 is: 56,798.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,689 : 103,072.98 = 41,157.16 : x
  2. Step 2: Convert to fraction form
    74,689/103,072.98 = 41,157.16/x
  3. Step 3: Cross multiply
    74,689x = 103,072.98 × 41,157.16
  4. Step 4: Simplify right side
    74,689x = 4,242,191,129.54
  5. Step 5: Solve for x
    x = 4,242,191,129.54/74,689
  6. Step 6: Final answer
    x = 56,798.07

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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.