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Finding the Fourth Proportional to 130,987.44, 196,461.36 and 47,862

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Solution

The fourth proportional to 130,987.44, 196,461.36 and 47,862 is: 71,785.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,987.44 : 196,461.36 = 47,862 : x
  2. Step 2: Convert to fraction form
    130,987.44/196,461.36 = 47,862/x
  3. Step 3: Cross multiply
    130,987.44x = 196,461.36 × 47,862
  4. Step 4: Simplify right side
    130,987.44x = 9,403,033,612.32
  5. Step 5: Solve for x
    x = 9,403,033,612.32/130,987.44
  6. Step 6: Final answer
    x = 71,785.77

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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.