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Finding the Fourth Proportional to 78,718.86, 118,103.81 and 47,124

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Solution

The fourth proportional to 78,718.86, 118,103.81 and 47,124 is: 70,701.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,718.86 : 118,103.81 = 47,124 : x
  2. Step 2: Convert to fraction form
    78,718.86/118,103.81 = 47,124/x
  3. Step 3: Cross multiply
    78,718.86x = 118,103.81 × 47,124
  4. Step 4: Simplify right side
    78,718.86x = 5,565,523,706.82
  5. Step 5: Solve for x
    x = 5,565,523,706.82/78,718.86
  6. Step 6: Final answer
    x = 70,701.27

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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.