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Finding the Fourth Proportional to 78,615.10, 117,922.65 and 47,122.30

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Solution

The fourth proportional to 78,615.10, 117,922.65 and 47,122.30 is: 70,683.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,615.10 : 117,922.65 = 47,122.30 : x
  2. Step 2: Convert to fraction form
    78,615.10/117,922.65 = 47,122.30/x
  3. Step 3: Cross multiply
    78,615.10x = 117,922.65 × 47,122.30
  4. Step 4: Simplify right side
    78,615.10x = 5,556,786,490.10
  5. Step 5: Solve for x
    x = 5,556,786,490.10/78,615.10
  6. Step 6: Final answer
    x = 70,683.45

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1.5x scale

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.