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Finding the Fourth Proportional to 145,641.62, 200,981.35 and 81,110.83

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Solution

The fourth proportional to 145,641.62, 200,981.35 and 81,110.83 is: 111,930.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,641.62 : 200,981.35 = 81,110.83 : x
  2. Step 2: Convert to fraction form
    145,641.62/200,981.35 = 81,110.83/x
  3. Step 3: Cross multiply
    145,641.62x = 200,981.35 × 81,110.83
  4. Step 4: Simplify right side
    145,641.62x = 16,301,763,407.79
  5. Step 5: Solve for x
    x = 16,301,763,407.79/145,641.62
  6. Step 6: Final answer
    x = 111,930.67

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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.