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Finding the Fourth Proportional to 144,810.33, 199,830.02 and 84,390.81

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Solution

The fourth proportional to 144,810.33, 199,830.02 and 84,390.81 is: 116,454.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,810.33 : 199,830.02 = 84,390.81 : x
  2. Step 2: Convert to fraction form
    144,810.33/199,830.02 = 84,390.81/x
  3. Step 3: Cross multiply
    144,810.33x = 199,830.02 × 84,390.81
  4. Step 4: Simplify right side
    144,810.33x = 16,863,816,828.16
  5. Step 5: Solve for x
    x = 16,863,816,828.16/144,810.33
  6. Step 6: Final answer
    x = 116,454.52

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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.