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Finding the Fourth Proportional to 70,807, 106,210.50 and 21,559

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Solution

The fourth proportional to 70,807, 106,210.50 and 21,559 is: 32,338.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,807 : 106,210.50 = 21,559 : x
  2. Step 2: Convert to fraction form
    70,807/106,210.50 = 21,559/x
  3. Step 3: Cross multiply
    70,807x = 106,210.50 × 21,559
  4. Step 4: Simplify right side
    70,807x = 2,289,792,169.50
  5. Step 5: Solve for x
    x = 2,289,792,169.50/70,807
  6. Step 6: Final answer
    x = 32,338.50

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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.