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Finding the Fourth Proportional to 130,188, 195,282.04 and 31,692

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Solution

The fourth proportional to 130,188, 195,282.04 and 31,692 is: 47,538.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,188 : 195,282.04 = 31,692 : x
  2. Step 2: Convert to fraction form
    130,188/195,282.04 = 31,692/x
  3. Step 3: Cross multiply
    130,188x = 195,282.04 × 31,692
  4. Step 4: Simplify right side
    130,188x = 6,188,878,411.68
  5. Step 5: Solve for x
    x = 6,188,878,411.68/130,188
  6. Step 6: Final answer
    x = 47,538.01

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