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Finding the Fourth Proportional to 78,556.70, 108,408.48 and 42,746.72

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Solution

The fourth proportional to 78,556.70, 108,408.48 and 42,746.72 is: 58,990.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,556.70 : 108,408.48 = 42,746.72 : x
  2. Step 2: Convert to fraction form
    78,556.70/108,408.48 = 42,746.72/x
  3. Step 3: Cross multiply
    78,556.70x = 108,408.48 × 42,746.72
  4. Step 4: Simplify right side
    78,556.70x = 4,634,106,940.19
  5. Step 5: Solve for x
    x = 4,634,106,940.19/78,556.70
  6. Step 6: Final answer
    x = 58,990.60

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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.