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Finding the Fourth Proportional to 152,796.34, 210,854.90 and 84,813.12

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Solution

The fourth proportional to 152,796.34, 210,854.90 and 84,813.12 is: 117,039.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,796.34 : 210,854.90 = 84,813.12 : x
  2. Step 2: Convert to fraction form
    152,796.34/210,854.90 = 84,813.12/x
  3. Step 3: Cross multiply
    152,796.34x = 210,854.90 × 84,813.12
  4. Step 4: Simplify right side
    152,796.34x = 17,883,261,936.29
  5. Step 5: Solve for x
    x = 17,883,261,936.29/152,796.34
  6. Step 6: Final answer
    x = 117,039.86

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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.