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Finding the Fourth Proportional to 210,126, 289,973.88 and 134,674.50

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Solution

The fourth proportional to 210,126, 289,973.88 and 134,674.50 is: 185,850.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,126 : 289,973.88 = 134,674.50 : x
  2. Step 2: Convert to fraction form
    210,126/289,973.88 = 134,674.50/x
  3. Step 3: Cross multiply
    210,126x = 289,973.88 × 134,674.50
  4. Step 4: Simplify right side
    210,126x = 39,052,087,302.06
  5. Step 5: Solve for x
    x = 39,052,087,302.06/210,126
  6. Step 6: Final answer
    x = 185,850.81

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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.