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Finding the Fourth Proportional to 140,810.49, 194,320.49 and 84,210.93

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Solution

The fourth proportional to 140,810.49, 194,320.49 and 84,210.93 is: 116,212.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,810.49 : 194,320.49 = 84,210.93 : x
  2. Step 2: Convert to fraction form
    140,810.49/194,320.49 = 84,210.93/x
  3. Step 3: Cross multiply
    140,810.49x = 194,320.49 × 84,210.93
  4. Step 4: Simplify right side
    140,810.49x = 16,363,908,759.90
  5. Step 5: Solve for x
    x = 16,363,908,759.90/140,810.49
  6. Step 6: Final answer
    x = 116,212.28

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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.