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Finding the Fourth Proportional to 65,139, 89,896.32 and 36,844.80

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Solution

The fourth proportional to 65,139, 89,896.32 and 36,844.80 is: 50,848.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,139 : 89,896.32 = 36,844.80 : x
  2. Step 2: Convert to fraction form
    65,139/89,896.32 = 36,844.80/x
  3. Step 3: Cross multiply
    65,139x = 89,896.32 × 36,844.80
  4. Step 4: Simplify right side
    65,139x = 3,312,211,931.14
  5. Step 5: Solve for x
    x = 3,312,211,931.14/65,139
  6. Step 6: Final answer
    x = 50,848.37

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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.