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Finding the Fourth Proportional to 210,102.50, 289,943.55 and 114,611.20

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Solution

The fourth proportional to 210,102.50, 289,943.55 and 114,611.20 is: 158,164.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,102.50 : 289,943.55 = 114,611.20 : x
  2. Step 2: Convert to fraction form
    210,102.50/289,943.55 = 114,611.20/x
  3. Step 3: Cross multiply
    210,102.50x = 289,943.55 × 114,611.20
  4. Step 4: Simplify right side
    210,102.50x = 33,230,777,472.90
  5. Step 5: Solve for x
    x = 33,230,777,472.90/210,102.50
  6. Step 6: Final answer
    x = 158,164.60

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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.