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Finding the Fourth Proportional to 42,732, 64,090.08 and 11,563.20

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Solution

The fourth proportional to 42,732, 64,090.08 and 11,563.20 is: 17,342.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,732 : 64,090.08 = 11,563.20 : x
  2. Step 2: Convert to fraction form
    42,732/64,090.08 = 11,563.20/x
  3. Step 3: Cross multiply
    42,732x = 64,090.08 × 11,563.20
  4. Step 4: Simplify right side
    42,732x = 741,086,413.06
  5. Step 5: Solve for x
    x = 741,086,413.06/42,732
  6. Step 6: Final answer
    x = 17,342.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.