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Finding the Fourth Proportional to 70,511.70, 105,767.55 and 65,590.95

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Solution

The fourth proportional to 70,511.70, 105,767.55 and 65,590.95 is: 98,386.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,511.70 : 105,767.55 = 65,590.95 : x
  2. Step 2: Convert to fraction form
    70,511.70/105,767.55 = 65,590.95/x
  3. Step 3: Cross multiply
    70,511.70x = 105,767.55 × 65,590.95
  4. Step 4: Simplify right side
    70,511.70x = 6,937,394,083.67
  5. Step 5: Solve for x
    x = 6,937,394,083.67/70,511.70
  6. Step 6: Final answer
    x = 98,386.43

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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.