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Finding the Fourth Proportional to 54,672, 75,430.08 and 33,440.64

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Solution

The fourth proportional to 54,672, 75,430.08 and 33,440.64 is: 46,137.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,672 : 75,430.08 = 33,440.64 : x
  2. Step 2: Convert to fraction form
    54,672/75,430.08 = 33,440.64/x
  3. Step 3: Cross multiply
    54,672x = 75,430.08 × 33,440.64
  4. Step 4: Simplify right side
    54,672x = 2,522,430,150.45
  5. Step 5: Solve for x
    x = 2,522,430,150.45/54,672
  6. Step 6: Final answer
    x = 46,137.51

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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.