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Finding the Fourth Proportional to 152,758.64, 210,816.60 and 85,694.96

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Solution

The fourth proportional to 152,758.64, 210,816.60 and 85,694.96 is: 118,264.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,758.64 : 210,816.60 = 85,694.96 : x
  2. Step 2: Convert to fraction form
    152,758.64/210,816.60 = 85,694.96/x
  3. Step 3: Cross multiply
    152,758.64x = 210,816.60 × 85,694.96
  4. Step 4: Simplify right side
    152,758.64x = 18,065,920,104.34
  5. Step 5: Solve for x
    x = 18,065,920,104.34/152,758.64
  6. Step 6: Final answer
    x = 118,264.47

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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.