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Finding the Fourth Proportional to 102,784.63, 141,866.49 and 66,912.16

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Solution

The fourth proportional to 102,784.63, 141,866.49 and 66,912.16 is: 92,354.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,784.63 : 141,866.49 = 66,912.16 : x
  2. Step 2: Convert to fraction form
    102,784.63/141,866.49 = 66,912.16/x
  3. Step 3: Cross multiply
    102,784.63x = 141,866.49 × 66,912.16
  4. Step 4: Simplify right side
    102,784.63x = 9,492,593,277.52
  5. Step 5: Solve for x
    x = 9,492,593,277.52/102,784.63
  6. Step 6: Final answer
    x = 92,354.21

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.