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Finding the Fourth Proportional to 152,814.82, 210,880.44 and 84,829.78

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Solution

The fourth proportional to 152,814.82, 210,880.44 and 84,829.78 is: 117,062.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,814.82 : 210,880.44 = 84,829.78 : x
  2. Step 2: Convert to fraction form
    152,814.82/210,880.44 = 84,829.78/x
  3. Step 3: Cross multiply
    152,814.82x = 210,880.44 × 84,829.78
  4. Step 4: Simplify right side
    152,814.82x = 17,888,941,331.50
  5. Step 5: Solve for x
    x = 17,888,941,331.50/152,814.82
  6. Step 6: Final answer
    x = 117,062.87

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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.