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Finding the Fourth Proportional to 208,075.60, 312,113.40 and 103,099.60

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Solution

The fourth proportional to 208,075.60, 312,113.40 and 103,099.60 is: 154,649.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,075.60 : 312,113.40 = 103,099.60 : x
  2. Step 2: Convert to fraction form
    208,075.60/312,113.40 = 103,099.60/x
  3. Step 3: Cross multiply
    208,075.60x = 312,113.40 × 103,099.60
  4. Step 4: Simplify right side
    208,075.60x = 32,178,766,694.64
  5. Step 5: Solve for x
    x = 32,178,766,694.64/208,075.60
  6. Step 6: Final answer
    x = 154,649.40

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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.