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Finding the Fourth Proportional to 66,710.64, 100,065.95 and 31,631.16

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Solution

The fourth proportional to 66,710.64, 100,065.95 and 31,631.16 is: 47,446.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,710.64 : 100,065.95 = 31,631.16 : x
  2. Step 2: Convert to fraction form
    66,710.64/100,065.95 = 31,631.16/x
  3. Step 3: Cross multiply
    66,710.64x = 100,065.95 × 31,631.16
  4. Step 4: Simplify right side
    66,710.64x = 3,165,202,075.00
  5. Step 5: Solve for x
    x = 3,165,202,075.00/66,710.64
  6. Step 6: Final answer
    x = 47,446.74

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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.