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Finding the Fourth Proportional to 157,228.20, 216,980.64 and 85,604.76

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Solution

The fourth proportional to 157,228.20, 216,980.64 and 85,604.76 is: 118,137.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,228.20 : 216,980.64 = 85,604.76 : x
  2. Step 2: Convert to fraction form
    157,228.20/216,980.64 = 85,604.76/x
  3. Step 3: Cross multiply
    157,228.20x = 216,980.64 × 85,604.76
  4. Step 4: Simplify right side
    157,228.20x = 18,574,575,611.85
  5. Step 5: Solve for x
    x = 18,574,575,611.85/157,228.20
  6. Step 6: Final answer
    x = 118,137.69

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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.