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Finding the Fourth Proportional to 66,709.64, 100,064.45 and 31,630.16

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Solution

The fourth proportional to 66,709.64, 100,064.45 and 31,630.16 is: 47,445.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,709.64 : 100,064.45 = 31,630.16 : x
  2. Step 2: Convert to fraction form
    66,709.64/100,064.45 = 31,630.16/x
  3. Step 3: Cross multiply
    66,709.64x = 100,064.45 × 31,630.16
  4. Step 4: Simplify right side
    66,709.64x = 3,165,054,563.81
  5. Step 5: Solve for x
    x = 3,165,054,563.81/66,709.64
  6. Step 6: Final answer
    x = 47,445.24

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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.