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Finding the Fourth Proportional to 78,742.80, 118,038.60 and 26,125.20

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Solution

The fourth proportional to 78,742.80, 118,038.60 and 26,125.20 is: 39,162.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,742.80 : 118,038.60 = 26,125.20 : x
  2. Step 2: Convert to fraction form
    78,742.80/118,038.60 = 26,125.20/x
  3. Step 3: Cross multiply
    78,742.80x = 118,038.60 × 26,125.20
  4. Step 4: Simplify right side
    78,742.80x = 3,083,782,032.72
  5. Step 5: Solve for x
    x = 3,083,782,032.72/78,742.80
  6. Step 6: Final answer
    x = 39,162.72

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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.