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Finding the Fourth Proportional to 152,866.96, 210,944.84 and 85,786

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Solution

The fourth proportional to 152,866.96, 210,944.84 and 85,786 is: 118,378.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,866.96 : 210,944.84 = 85,786 : x
  2. Step 2: Convert to fraction form
    152,866.96/210,944.84 = 85,786/x
  3. Step 3: Cross multiply
    152,866.96x = 210,944.84 × 85,786
  4. Step 4: Simplify right side
    152,866.96x = 18,096,114,044.24
  5. Step 5: Solve for x
    x = 18,096,114,044.24/152,866.96
  6. Step 6: Final answer
    x = 118,378.19

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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.