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Finding the Fourth Proportional to 210,125, 289,972.50 and 134,673.50

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Solution

The fourth proportional to 210,125, 289,972.50 and 134,673.50 is: 185,849.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,125 : 289,972.50 = 134,673.50 : x
  2. Step 2: Convert to fraction form
    210,125/289,972.50 = 134,673.50/x
  3. Step 3: Cross multiply
    210,125x = 289,972.50 × 134,673.50
  4. Step 4: Simplify right side
    210,125x = 39,051,611,478.75
  5. Step 5: Solve for x
    x = 39,051,611,478.75/210,125
  6. Step 6: Final answer
    x = 185,849.43

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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.