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Finding the Fourth Proportional to 65,322.64, 90,146.82 and 39,830.32

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Solution

The fourth proportional to 65,322.64, 90,146.82 and 39,830.32 is: 54,966.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,322.64 : 90,146.82 = 39,830.32 : x
  2. Step 2: Convert to fraction form
    65,322.64/90,146.82 = 39,830.32/x
  3. Step 3: Cross multiply
    65,322.64x = 90,146.82 × 39,830.32
  4. Step 4: Simplify right side
    65,322.64x = 3,590,576,687.58
  5. Step 5: Solve for x
    x = 3,590,576,687.58/65,322.64
  6. Step 6: Final answer
    x = 54,966.80

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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.