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Finding the Fourth Proportional to 105,075.44, 144,886.36 and 85,895.60

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Solution

The fourth proportional to 105,075.44, 144,886.36 and 85,895.60 is: 118,439.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,075.44 : 144,886.36 = 85,895.60 : x
  2. Step 2: Convert to fraction form
    105,075.44/144,886.36 = 85,895.60/x
  3. Step 3: Cross multiply
    105,075.44x = 144,886.36 × 85,895.60
  4. Step 4: Simplify right side
    105,075.44x = 12,445,100,824.02
  5. Step 5: Solve for x
    x = 12,445,100,824.02/105,075.44
  6. Step 6: Final answer
    x = 118,439.67

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.