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Finding the Fourth Proportional to 140,798.63, 194,302.11 and 84,210

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Solution

The fourth proportional to 140,798.63, 194,302.11 and 84,210 is: 116,209.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,798.63 : 194,302.11 = 84,210 : x
  2. Step 2: Convert to fraction form
    140,798.63/194,302.11 = 84,210/x
  3. Step 3: Cross multiply
    140,798.63x = 194,302.11 × 84,210
  4. Step 4: Simplify right side
    140,798.63x = 16,362,180,683.10
  5. Step 5: Solve for x
    x = 16,362,180,683.10/140,798.63
  6. Step 6: Final answer
    x = 116,209.80

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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.