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Finding the Fourth Proportional to 105,433.64, 145,452.21 and 61,804.08

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Solution

The fourth proportional to 105,433.64, 145,452.21 and 61,804.08 is: 85,262.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,433.64 : 145,452.21 = 61,804.08 : x
  2. Step 2: Convert to fraction form
    105,433.64/145,452.21 = 61,804.08/x
  3. Step 3: Cross multiply
    105,433.64x = 145,452.21 × 61,804.08
  4. Step 4: Simplify right side
    105,433.64x = 8,989,540,023.02
  5. Step 5: Solve for x
    x = 8,989,540,023.02/105,433.64
  6. Step 6: Final answer
    x = 85,262.54

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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.