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Finding the Fourth Proportional to 130,987.72, 196,483.74 and 47,881

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Solution

The fourth proportional to 130,987.72, 196,483.74 and 47,881 is: 71,822.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,987.72 : 196,483.74 = 47,881 : x
  2. Step 2: Convert to fraction form
    130,987.72/196,483.74 = 47,881/x
  3. Step 3: Cross multiply
    130,987.72x = 196,483.74 × 47,881
  4. Step 4: Simplify right side
    130,987.72x = 9,407,837,954.94
  5. Step 5: Solve for x
    x = 9,407,837,954.94/130,987.72
  6. Step 6: Final answer
    x = 71,822.29

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.