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Finding the Fourth Proportional to 130,056, 195,084.48 and 31,560

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Solution

The fourth proportional to 130,056, 195,084.48 and 31,560 is: 47,340.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,056 : 195,084.48 = 31,560 : x
  2. Step 2: Convert to fraction form
    130,056/195,084.48 = 31,560/x
  3. Step 3: Cross multiply
    130,056x = 195,084.48 × 31,560
  4. Step 4: Simplify right side
    130,056x = 6,156,866,188.80
  5. Step 5: Solve for x
    x = 6,156,866,188.80/130,056
  6. Step 6: Final answer
    x = 47,340.12

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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.