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Finding the Fourth Proportional to 200,038.68, 300,205.98 and 161,066.34

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Solution

The fourth proportional to 200,038.68, 300,205.98 and 161,066.34 is: 241,718.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,038.68 : 300,205.98 = 161,066.34 : x
  2. Step 2: Convert to fraction form
    200,038.68/300,205.98 = 161,066.34/x
  3. Step 3: Cross multiply
    200,038.68x = 300,205.98 × 161,066.34
  4. Step 4: Simplify right side
    200,038.68x = 48,353,078,444.71
  5. Step 5: Solve for x
    x = 48,353,078,444.71/200,038.68
  6. Step 6: Final answer
    x = 241,718.64

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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.