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Finding the Fourth Proportional to 118,038.21, 162,852.72 and 72,081.09

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Solution

The fourth proportional to 118,038.21, 162,852.72 and 72,081.09 is: 99,447.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,038.21 : 162,852.72 = 72,081.09 : x
  2. Step 2: Convert to fraction form
    118,038.21/162,852.72 = 72,081.09/x
  3. Step 3: Cross multiply
    118,038.21x = 162,852.72 × 72,081.09
  4. Step 4: Simplify right side
    118,038.21x = 11,738,601,567.06
  5. Step 5: Solve for x
    x = 11,738,601,567.06/118,038.21
  6. Step 6: Final answer
    x = 99,447.47

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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.