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Finding the Fourth Proportional to 155,411.81, 214,467.98 and 87,428.82

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Solution

The fourth proportional to 155,411.81, 214,467.98 and 87,428.82 is: 120,651.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,411.81 : 214,467.98 = 87,428.82 : x
  2. Step 2: Convert to fraction form
    155,411.81/214,467.98 = 87,428.82/x
  3. Step 3: Cross multiply
    155,411.81x = 214,467.98 × 87,428.82
  4. Step 4: Simplify right side
    155,411.81x = 18,750,681,982.04
  5. Step 5: Solve for x
    x = 18,750,681,982.04/155,411.81
  6. Step 6: Final answer
    x = 120,651.59

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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.