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Finding the Fourth Proportional to 81,405.64, 112,336.50 and 47,415.16

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Solution

The fourth proportional to 81,405.64, 112,336.50 and 47,415.16 is: 65,431.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,405.64 : 112,336.50 = 47,415.16 : x
  2. Step 2: Convert to fraction form
    81,405.64/112,336.50 = 47,415.16/x
  3. Step 3: Cross multiply
    81,405.64x = 112,336.50 × 47,415.16
  4. Step 4: Simplify right side
    81,405.64x = 5,326,453,121.34
  5. Step 5: Solve for x
    x = 5,326,453,121.34/81,405.64
  6. Step 6: Final answer
    x = 65,431.01

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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.