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Finding the Fourth Proportional to 155,263.94, 214,259.28 and 87,283.78

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Solution

The fourth proportional to 155,263.94, 214,259.28 and 87,283.78 is: 120,448.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,263.94 : 214,259.28 = 87,283.78 : x
  2. Step 2: Convert to fraction form
    155,263.94/214,259.28 = 87,283.78/x
  3. Step 3: Cross multiply
    155,263.94x = 214,259.28 × 87,283.78
  4. Step 4: Simplify right side
    155,263.94x = 18,701,358,995.52
  5. Step 5: Solve for x
    x = 18,701,358,995.52/155,263.94
  6. Step 6: Final answer
    x = 120,448.83

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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.