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Finding the Fourth Proportional to 118,290.88, 163,202.34 and 78,024.70

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Solution

The fourth proportional to 118,290.88, 163,202.34 and 78,024.70 is: 107,648.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,290.88 : 163,202.34 = 78,024.70 : x
  2. Step 2: Convert to fraction form
    118,290.88/163,202.34 = 78,024.70/x
  3. Step 3: Cross multiply
    118,290.88x = 163,202.34 × 78,024.70
  4. Step 4: Simplify right side
    118,290.88x = 12,733,813,617.80
  5. Step 5: Solve for x
    x = 12,733,813,617.80/118,290.88
  6. Step 6: Final answer
    x = 107,648.31

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1.5x scale

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.