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Finding the Fourth Proportional to 152,847.51, 210,932 and 84,868.86

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Solution

The fourth proportional to 152,847.51, 210,932 and 84,868.86 is: 117,120.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,847.51 : 210,932 = 84,868.86 : x
  2. Step 2: Convert to fraction form
    152,847.51/210,932 = 84,868.86/x
  3. Step 3: Cross multiply
    152,847.51x = 210,932 × 84,868.86
  4. Step 4: Simplify right side
    152,847.51x = 17,901,558,377.52
  5. Step 5: Solve for x
    x = 17,901,558,377.52/152,847.51
  6. Step 6: Final answer
    x = 117,120.38

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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.