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Finding the Fourth Proportional to 65,013.78, 89,708.10 and 39,515.76

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Solution

The fourth proportional to 65,013.78, 89,708.10 and 39,515.76 is: 54,525.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,013.78 : 89,708.10 = 39,515.76 : x
  2. Step 2: Convert to fraction form
    65,013.78/89,708.10 = 39,515.76/x
  3. Step 3: Cross multiply
    65,013.78x = 89,708.10 × 39,515.76
  4. Step 4: Simplify right side
    65,013.78x = 3,544,883,749.66
  5. Step 5: Solve for x
    x = 3,544,883,749.66/65,013.78
  6. Step 6: Final answer
    x = 54,525.11

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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.