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Finding the Fourth Proportional to 152,798.96, 210,852 and 84,813.44

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Solution

The fourth proportional to 152,798.96, 210,852 and 84,813.44 is: 117,036.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,798.96 : 210,852 = 84,813.44 : x
  2. Step 2: Convert to fraction form
    152,798.96/210,852 = 84,813.44/x
  3. Step 3: Cross multiply
    152,798.96x = 210,852 × 84,813.44
  4. Step 4: Simplify right side
    152,798.96x = 17,883,083,450.88
  5. Step 5: Solve for x
    x = 17,883,083,450.88/152,798.96
  6. Step 6: Final answer
    x = 117,036.68

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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.