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Finding the Fourth Proportional to 130,511, 195,766.50 and 56,639

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Solution

The fourth proportional to 130,511, 195,766.50 and 56,639 is: 84,958.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,511 : 195,766.50 = 56,639 : x
  2. Step 2: Convert to fraction form
    130,511/195,766.50 = 56,639/x
  3. Step 3: Cross multiply
    130,511x = 195,766.50 × 56,639
  4. Step 4: Simplify right side
    130,511x = 11,088,018,793.50
  5. Step 5: Solve for x
    x = 11,088,018,793.50/130,511
  6. Step 6: Final answer
    x = 84,958.50

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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.