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Finding the Fourth Proportional to 208,136.50, 312,219.36 and 83,477.50

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Solution

The fourth proportional to 208,136.50, 312,219.36 and 83,477.50 is: 125,222.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,136.50 : 312,219.36 = 83,477.50 : x
  2. Step 2: Convert to fraction form
    208,136.50/312,219.36 = 83,477.50/x
  3. Step 3: Cross multiply
    208,136.50x = 312,219.36 × 83,477.50
  4. Step 4: Simplify right side
    208,136.50x = 26,063,291,624.40
  5. Step 5: Solve for x
    x = 26,063,291,624.40/208,136.50
  6. Step 6: Final answer
    x = 125,222.11

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1.5x scale

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.