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Finding the Fourth Proportional to 57,678.90, 86,476.80 and 35,446.34

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Solution

The fourth proportional to 57,678.90, 86,476.80 and 35,446.34 is: 53,143.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,678.90 : 86,476.80 = 35,446.34 : x
  2. Step 2: Convert to fraction form
    57,678.90/86,476.80 = 35,446.34/x
  3. Step 3: Cross multiply
    57,678.90x = 86,476.80 × 35,446.34
  4. Step 4: Simplify right side
    57,678.90x = 3,065,286,054.91
  5. Step 5: Solve for x
    x = 3,065,286,054.91/57,678.90
  6. Step 6: Final answer
    x = 53,143.98

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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.