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Finding the Fourth Proportional to 65,140.63, 97,697.28 and 18,382.57

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Solution

The fourth proportional to 65,140.63, 97,697.28 and 18,382.57 is: 27,570.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,140.63 : 97,697.28 = 18,382.57 : x
  2. Step 2: Convert to fraction form
    65,140.63/97,697.28 = 18,382.57/x
  3. Step 3: Cross multiply
    65,140.63x = 97,697.28 × 18,382.57
  4. Step 4: Simplify right side
    65,140.63x = 1,795,927,058.62
  5. Step 5: Solve for x
    x = 1,795,927,058.62/65,140.63
  6. Step 6: Final answer
    x = 27,570.00

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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.