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Finding the Fourth Proportional to 144,709.74, 199,705.59 and 84,270.64

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Solution

The fourth proportional to 144,709.74, 199,705.59 and 84,270.64 is: 116,297.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,709.74 : 199,705.59 = 84,270.64 : x
  2. Step 2: Convert to fraction form
    144,709.74/199,705.59 = 84,270.64/x
  3. Step 3: Cross multiply
    144,709.74x = 199,705.59 × 84,270.64
  4. Step 4: Simplify right side
    144,709.74x = 16,829,317,459.52
  5. Step 5: Solve for x
    x = 16,829,317,459.52/144,709.74
  6. Step 6: Final answer
    x = 116,297.07

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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.