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Finding the Fourth Proportional to 85,326.46, 117,742.34 and 47,603.14

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Solution

The fourth proportional to 85,326.46, 117,742.34 and 47,603.14 is: 65,687.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,326.46 : 117,742.34 = 47,603.14 : x
  2. Step 2: Convert to fraction form
    85,326.46/117,742.34 = 47,603.14/x
  3. Step 3: Cross multiply
    85,326.46x = 117,742.34 × 47,603.14
  4. Step 4: Simplify right side
    85,326.46x = 5,604,905,094.95
  5. Step 5: Solve for x
    x = 5,604,905,094.95/85,326.46
  6. Step 6: Final answer
    x = 65,687.77

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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.