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Finding the Fourth Proportional to 78,352.41, 108,128.21 and 42,543.93

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Solution

The fourth proportional to 78,352.41, 108,128.21 and 42,543.93 is: 58,711.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,352.41 : 108,128.21 = 42,543.93 : x
  2. Step 2: Convert to fraction form
    78,352.41/108,128.21 = 42,543.93/x
  3. Step 3: Cross multiply
    78,352.41x = 108,128.21 × 42,543.93
  4. Step 4: Simplify right side
    78,352.41x = 4,600,198,784.55
  5. Step 5: Solve for x
    x = 4,600,198,784.55/78,352.41
  6. Step 6: Final answer
    x = 58,711.64

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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.