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Finding the Fourth Proportional to 208,532.60, 312,820.76 and 68,302.16

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Solution

The fourth proportional to 208,532.60, 312,820.76 and 68,302.16 is: 102,460.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,532.60 : 312,820.76 = 68,302.16 : x
  2. Step 2: Convert to fraction form
    208,532.60/312,820.76 = 68,302.16/x
  3. Step 3: Cross multiply
    208,532.60x = 312,820.76 × 68,302.16
  4. Step 4: Simplify right side
    208,532.60x = 21,366,333,600.84
  5. Step 5: Solve for x
    x = 21,366,333,600.84/208,532.60
  6. Step 6: Final answer
    x = 102,460.40

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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.