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Finding the Fourth Proportional to 65,120, 89,865.66 and 35,312

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Solution

The fourth proportional to 65,120, 89,865.66 and 35,312 is: 48,730.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,120 : 89,865.66 = 35,312 : x
  2. Step 2: Convert to fraction form
    65,120/89,865.66 = 35,312/x
  3. Step 3: Cross multiply
    65,120x = 89,865.66 × 35,312
  4. Step 4: Simplify right side
    65,120x = 3,173,336,185.92
  5. Step 5: Solve for x
    x = 3,173,336,185.92/65,120
  6. Step 6: Final answer
    x = 48,730.59

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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.