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Finding the Fourth Proportional to 208,126, 312,178.04 and 58,376.64

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Solution

The fourth proportional to 208,126, 312,178.04 and 58,376.64 is: 87,561.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,126 : 312,178.04 = 58,376.64 : x
  2. Step 2: Convert to fraction form
    208,126/312,178.04 = 58,376.64/x
  3. Step 3: Cross multiply
    208,126x = 312,178.04 × 58,376.64
  4. Step 4: Simplify right side
    208,126x = 18,223,905,056.99
  5. Step 5: Solve for x
    x = 18,223,905,056.99/208,126
  6. Step 6: Final answer
    x = 87,561.89

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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.