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Finding the Fourth Proportional to 85,937.48, 118,569.36 and 55,724

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Solution

The fourth proportional to 85,937.48, 118,569.36 and 55,724 is: 76,883.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,937.48 : 118,569.36 = 55,724 : x
  2. Step 2: Convert to fraction form
    85,937.48/118,569.36 = 55,724/x
  3. Step 3: Cross multiply
    85,937.48x = 118,569.36 × 55,724
  4. Step 4: Simplify right side
    85,937.48x = 6,607,159,016.64
  5. Step 5: Solve for x
    x = 6,607,159,016.64/85,937.48
  6. Step 6: Final answer
    x = 76,883.32

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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.