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Finding the Fourth Proportional to 65,761.76, 90,751.24 and 35,547

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Solution

The fourth proportional to 65,761.76, 90,751.24 and 35,547 is: 49,054.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,761.76 : 90,751.24 = 35,547 : x
  2. Step 2: Convert to fraction form
    65,761.76/90,751.24 = 35,547/x
  3. Step 3: Cross multiply
    65,761.76x = 90,751.24 × 35,547
  4. Step 4: Simplify right side
    65,761.76x = 3,225,934,328.28
  5. Step 5: Solve for x
    x = 3,225,934,328.28/65,761.76
  6. Step 6: Final answer
    x = 49,054.87

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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.