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Finding the Fourth Proportional to 130,486.95, 195,730.42 and 31,990.95

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Solution

The fourth proportional to 130,486.95, 195,730.42 and 31,990.95 is: 47,986.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,486.95 : 195,730.42 = 31,990.95 : x
  2. Step 2: Convert to fraction form
    130,486.95/195,730.42 = 31,990.95/x
  3. Step 3: Cross multiply
    130,486.95x = 195,730.42 × 31,990.95
  4. Step 4: Simplify right side
    130,486.95x = 6,261,602,079.70
  5. Step 5: Solve for x
    x = 6,261,602,079.70/130,486.95
  6. Step 6: Final answer
    x = 47,986.42

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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.