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Finding the Fourth Proportional to 208,302.34, 312,453.98 and 75,276.56

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Solution

The fourth proportional to 208,302.34, 312,453.98 and 75,276.56 is: 112,915.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,302.34 : 312,453.98 = 75,276.56 : x
  2. Step 2: Convert to fraction form
    208,302.34/312,453.98 = 75,276.56/x
  3. Step 3: Cross multiply
    208,302.34x = 312,453.98 × 75,276.56
  4. Step 4: Simplify right side
    208,302.34x = 23,520,460,772.71
  5. Step 5: Solve for x
    x = 23,520,460,772.71/208,302.34
  6. Step 6: Final answer
    x = 112,915.01

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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.