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Finding the Fourth Proportional to 158,538.34, 237,682.50 and 78,603.76

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Solution

The fourth proportional to 158,538.34, 237,682.50 and 78,603.76 is: 117,843.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,538.34 : 237,682.50 = 78,603.76 : x
  2. Step 2: Convert to fraction form
    158,538.34/237,682.50 = 78,603.76/x
  3. Step 3: Cross multiply
    158,538.34x = 237,682.50 × 78,603.76
  4. Step 4: Simplify right side
    158,538.34x = 18,682,738,186.20
  5. Step 5: Solve for x
    x = 18,682,738,186.20/158,538.34
  6. Step 6: Final answer
    x = 117,843.66

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.