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Finding the Fourth Proportional to 130,194, 195,291.04 and 31,698

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Solution

The fourth proportional to 130,194, 195,291.04 and 31,698 is: 47,547.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,194 : 195,291.04 = 31,698 : x
  2. Step 2: Convert to fraction form
    130,194/195,291.04 = 31,698/x
  3. Step 3: Cross multiply
    130,194x = 195,291.04 × 31,698
  4. Step 4: Simplify right side
    130,194x = 6,190,335,385.92
  5. Step 5: Solve for x
    x = 6,190,335,385.92/130,194
  6. Step 6: Final answer
    x = 47,547.01

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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.