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Finding the Fourth Proportional to 77,704.84, 116,568.78 and 28,453

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Solution

The fourth proportional to 77,704.84, 116,568.78 and 28,453 is: 42,683.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,704.84 : 116,568.78 = 28,453 : x
  2. Step 2: Convert to fraction form
    77,704.84/116,568.78 = 28,453/x
  3. Step 3: Cross multiply
    77,704.84x = 116,568.78 × 28,453
  4. Step 4: Simplify right side
    77,704.84x = 3,316,731,497.34
  5. Step 5: Solve for x
    x = 3,316,731,497.34/77,704.84
  6. Step 6: Final answer
    x = 42,683.72

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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.