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Finding the Fourth Proportional to 145,627.50, 200,944.08 and 81,964.02

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Solution

The fourth proportional to 145,627.50, 200,944.08 and 81,964.02 is: 113,098.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,627.50 : 200,944.08 = 81,964.02 : x
  2. Step 2: Convert to fraction form
    145,627.50/200,944.08 = 81,964.02/x
  3. Step 3: Cross multiply
    145,627.50x = 200,944.08 × 81,964.02
  4. Step 4: Simplify right side
    145,627.50x = 16,470,184,592.00
  5. Step 5: Solve for x
    x = 16,470,184,592.00/145,627.50
  6. Step 6: Final answer
    x = 113,098.04

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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.