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Finding the Fourth Proportional to 235,706.42, 353,603.64 and 78,045.86

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Solution

The fourth proportional to 235,706.42, 353,603.64 and 78,045.86 is: 117,083.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,706.42 : 353,603.64 = 78,045.86 : x
  2. Step 2: Convert to fraction form
    235,706.42/353,603.64 = 78,045.86/x
  3. Step 3: Cross multiply
    235,706.42x = 353,603.64 × 78,045.86
  4. Step 4: Simplify right side
    235,706.42x = 27,597,300,182.93
  5. Step 5: Solve for x
    x = 27,597,300,182.93/235,706.42
  6. Step 6: Final answer
    x = 117,083.36

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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.