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Finding the Fourth Proportional to 144,830.84, 199,878.36 and 80,306.48

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Solution

The fourth proportional to 144,830.84, 199,878.36 and 80,306.48 is: 110,829.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,830.84 : 199,878.36 = 80,306.48 : x
  2. Step 2: Convert to fraction form
    144,830.84/199,878.36 = 80,306.48/x
  3. Step 3: Cross multiply
    144,830.84x = 199,878.36 × 80,306.48
  4. Step 4: Simplify right side
    144,830.84x = 16,051,528,019.47
  5. Step 5: Solve for x
    x = 16,051,528,019.47/144,830.84
  6. Step 6: Final answer
    x = 110,829.49

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1.5x scale

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.