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Finding the Fourth Proportional to 96,701.92, 145,068 and 30,128.64

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Solution

The fourth proportional to 96,701.92, 145,068 and 30,128.64 is: 45,197.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,701.92 : 145,068 = 30,128.64 : x
  2. Step 2: Convert to fraction form
    96,701.92/145,068 = 30,128.64/x
  3. Step 3: Cross multiply
    96,701.92x = 145,068 × 30,128.64
  4. Step 4: Simplify right side
    96,701.92x = 4,370,701,547.52
  5. Step 5: Solve for x
    x = 4,370,701,547.52/96,701.92
  6. Step 6: Final answer
    x = 45,197.67

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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.