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Finding the Fourth Proportional to 64,617.60, 89,181.60 and 42,024

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Solution

The fourth proportional to 64,617.60, 89,181.60 and 42,024 is: 57,999.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,617.60 : 89,181.60 = 42,024 : x
  2. Step 2: Convert to fraction form
    64,617.60/89,181.60 = 42,024/x
  3. Step 3: Cross multiply
    64,617.60x = 89,181.60 × 42,024
  4. Step 4: Simplify right side
    64,617.60x = 3,747,767,558.40
  5. Step 5: Solve for x
    x = 3,747,767,558.40/64,617.60
  6. Step 6: Final answer
    x = 57,999.18

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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.