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Finding the Fourth Proportional to 86,032, 118,672.68 and 54,145.54

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Solution

The fourth proportional to 86,032, 118,672.68 and 54,145.54 is: 74,688.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,032 : 118,672.68 = 54,145.54 : x
  2. Step 2: Convert to fraction form
    86,032/118,672.68 = 54,145.54/x
  3. Step 3: Cross multiply
    86,032x = 118,672.68 × 54,145.54
  4. Step 4: Simplify right side
    86,032x = 6,425,596,341.85
  5. Step 5: Solve for x
    x = 6,425,596,341.85/86,032
  6. Step 6: Final answer
    x = 74,688.45

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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.