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Finding the Fourth Proportional to 57,802.60, 86,531.10 and 51,581.80

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Solution

The fourth proportional to 57,802.60, 86,531.10 and 51,581.80 is: 77,218.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,802.60 : 86,531.10 = 51,581.80 : x
  2. Step 2: Convert to fraction form
    57,802.60/86,531.10 = 51,581.80/x
  3. Step 3: Cross multiply
    57,802.60x = 86,531.10 × 51,581.80
  4. Step 4: Simplify right side
    57,802.60x = 4,463,429,893.98
  5. Step 5: Solve for x
    x = 4,463,429,893.98/57,802.60
  6. Step 6: Final answer
    x = 77,218.50

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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.