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Finding the Fourth Proportional to 85,434.72, 117,868.68 and 53,592

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Solution

The fourth proportional to 85,434.72, 117,868.68 and 53,592 is: 73,937.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,434.72 : 117,868.68 = 53,592 : x
  2. Step 2: Convert to fraction form
    85,434.72/117,868.68 = 53,592/x
  3. Step 3: Cross multiply
    85,434.72x = 117,868.68 × 53,592
  4. Step 4: Simplify right side
    85,434.72x = 6,316,818,298.56
  5. Step 5: Solve for x
    x = 6,316,818,298.56/85,434.72
  6. Step 6: Final answer
    x = 73,937.37

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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.