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Finding the Fourth Proportional to 131,071.44, 180,881.16 and 71,455.44

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Solution

The fourth proportional to 131,071.44, 180,881.16 and 71,455.44 is: 98,609.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,071.44 : 180,881.16 = 71,455.44 : x
  2. Step 2: Convert to fraction form
    131,071.44/180,881.16 = 71,455.44/x
  3. Step 3: Cross multiply
    131,071.44x = 180,881.16 × 71,455.44
  4. Step 4: Simplify right side
    131,071.44x = 12,924,942,875.51
  5. Step 5: Solve for x
    x = 12,924,942,875.51/131,071.44
  6. Step 6: Final answer
    x = 98,609.91

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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.