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Finding the Fourth Proportional to 157,137.32, 216,845.34 and 85,515.80

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Solution

The fourth proportional to 157,137.32, 216,845.34 and 85,515.80 is: 118,009.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,137.32 : 216,845.34 = 85,515.80 : x
  2. Step 2: Convert to fraction form
    157,137.32/216,845.34 = 85,515.80/x
  3. Step 3: Cross multiply
    157,137.32x = 216,845.34 × 85,515.80
  4. Step 4: Simplify right side
    157,137.32x = 18,543,701,214.57
  5. Step 5: Solve for x
    x = 18,543,701,214.57/157,137.32
  6. Step 6: Final answer
    x = 118,009.53

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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.