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Finding the Fourth Proportional to 152,166.43, 209,988.21 and 85,098.43

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Solution

The fourth proportional to 152,166.43, 209,988.21 and 85,098.43 is: 117,435.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,166.43 : 209,988.21 = 85,098.43 : x
  2. Step 2: Convert to fraction form
    152,166.43/209,988.21 = 85,098.43/x
  3. Step 3: Cross multiply
    152,166.43x = 209,988.21 × 85,098.43
  4. Step 4: Simplify right side
    152,166.43x = 17,869,666,989.51
  5. Step 5: Solve for x
    x = 17,869,666,989.51/152,166.43
  6. Step 6: Final answer
    x = 117,435.01

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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.