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Finding the Fourth Proportional to 57,643.77, 85,892.64 and 51,355.47

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Solution

The fourth proportional to 57,643.77, 85,892.64 and 51,355.47 is: 76,522.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,643.77 : 85,892.64 = 51,355.47 : x
  2. Step 2: Convert to fraction form
    57,643.77/85,892.64 = 51,355.47/x
  3. Step 3: Cross multiply
    57,643.77x = 85,892.64 × 51,355.47
  4. Step 4: Simplify right side
    57,643.77x = 4,411,056,896.74
  5. Step 5: Solve for x
    x = 4,411,056,896.74/57,643.77
  6. Step 6: Final answer
    x = 76,522.70

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.