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Finding the Fourth Proportional to 84,701.64, 127,055.10 and 31,406.88

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Solution

The fourth proportional to 84,701.64, 127,055.10 and 31,406.88 is: 47,111.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,701.64 : 127,055.10 = 31,406.88 : x
  2. Step 2: Convert to fraction form
    84,701.64/127,055.10 = 31,406.88/x
  3. Step 3: Cross multiply
    84,701.64x = 127,055.10 × 31,406.88
  4. Step 4: Simplify right side
    84,701.64x = 3,990,404,279.09
  5. Step 5: Solve for x
    x = 3,990,404,279.09/84,701.64
  6. Step 6: Final answer
    x = 47,111.30

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.