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Finding the Fourth Proportional to 208,584, 312,885.72 and 60,840

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Solution

The fourth proportional to 208,584, 312,885.72 and 60,840 is: 91,262.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,584 : 312,885.72 = 60,840 : x
  2. Step 2: Convert to fraction form
    208,584/312,885.72 = 60,840/x
  3. Step 3: Cross multiply
    208,584x = 312,885.72 × 60,840
  4. Step 4: Simplify right side
    208,584x = 19,035,967,204.80
  5. Step 5: Solve for x
    x = 19,035,967,204.80/208,584
  6. Step 6: Final answer
    x = 91,262.84

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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.