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Finding the Fourth Proportional to 78,745.64, 118,118.30 and 31,987.56

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Solution

The fourth proportional to 78,745.64, 118,118.30 and 31,987.56 is: 47,981.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,745.64 : 118,118.30 = 31,987.56 : x
  2. Step 2: Convert to fraction form
    78,745.64/118,118.30 = 31,987.56/x
  3. Step 3: Cross multiply
    78,745.64x = 118,118.30 × 31,987.56
  4. Step 4: Simplify right side
    78,745.64x = 3,778,316,208.35
  5. Step 5: Solve for x
    x = 3,778,316,208.35/78,745.64
  6. Step 6: Final answer
    x = 47,981.28

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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.