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Finding the Fourth Proportional to 74,180, 102,368.40 and 40,645.28

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Solution

The fourth proportional to 74,180, 102,368.40 and 40,645.28 is: 56,090.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,180 : 102,368.40 = 40,645.28 : x
  2. Step 2: Convert to fraction form
    74,180/102,368.40 = 40,645.28/x
  3. Step 3: Cross multiply
    74,180x = 102,368.40 × 40,645.28
  4. Step 4: Simplify right side
    74,180x = 4,160,792,281.15
  5. Step 5: Solve for x
    x = 4,160,792,281.15/74,180
  6. Step 6: Final answer
    x = 56,090.49

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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.