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Finding the Fourth Proportional to 210,025.84, 314,946.60 and 76,871.60

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Solution

The fourth proportional to 210,025.84, 314,946.60 and 76,871.60 is: 115,273.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,025.84 : 314,946.60 = 76,871.60 : x
  2. Step 2: Convert to fraction form
    210,025.84/314,946.60 = 76,871.60/x
  3. Step 3: Cross multiply
    210,025.84x = 314,946.60 × 76,871.60
  4. Step 4: Simplify right side
    210,025.84x = 24,210,449,056.56
  5. Step 5: Solve for x
    x = 24,210,449,056.56/210,025.84
  6. Step 6: Final answer
    x = 115,273.67

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.