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Finding the Fourth Proportional to 145,599.09, 200,928.75 and 85,205.10

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Solution

The fourth proportional to 145,599.09, 200,928.75 and 85,205.10 is: 117,584.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,599.09 : 200,928.75 = 85,205.10 : x
  2. Step 2: Convert to fraction form
    145,599.09/200,928.75 = 85,205.10/x
  3. Step 3: Cross multiply
    145,599.09x = 200,928.75 × 85,205.10
  4. Step 4: Simplify right side
    145,599.09x = 17,120,154,236.63
  5. Step 5: Solve for x
    x = 17,120,154,236.63/145,599.09
  6. Step 6: Final answer
    x = 117,584.21

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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.