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Finding the Fourth Proportional to 145,951.46, 201,433 and 85,546.16

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Solution

The fourth proportional to 145,951.46, 201,433 and 85,546.16 is: 118,065.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,951.46 : 201,433 = 85,546.16 : x
  2. Step 2: Convert to fraction form
    145,951.46/201,433 = 85,546.16/x
  3. Step 3: Cross multiply
    145,951.46x = 201,433 × 85,546.16
  4. Step 4: Simplify right side
    145,951.46x = 17,231,819,647.28
  5. Step 5: Solve for x
    x = 17,231,819,647.28/145,951.46
  6. Step 6: Final answer
    x = 118,065.41

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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.