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Finding the Fourth Proportional to 144,810.84, 199,830.70 and 84,391.32

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Solution

The fourth proportional to 144,810.84, 199,830.70 and 84,391.32 is: 116,455.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,810.84 : 199,830.70 = 84,391.32 : x
  2. Step 2: Convert to fraction form
    144,810.84/199,830.70 = 84,391.32/x
  3. Step 3: Cross multiply
    144,810.84x = 199,830.70 × 84,391.32
  4. Step 4: Simplify right side
    144,810.84x = 16,863,976,549.52
  5. Step 5: Solve for x
    x = 16,863,976,549.52/144,810.84
  6. Step 6: Final answer
    x = 116,455.21

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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.