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Finding the Fourth Proportional to 151,448.94, 208,999.71 and 87,823.71

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Solution

The fourth proportional to 151,448.94, 208,999.71 and 87,823.71 is: 121,196.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,448.94 : 208,999.71 = 87,823.71 : x
  2. Step 2: Convert to fraction form
    151,448.94/208,999.71 = 87,823.71/x
  3. Step 3: Cross multiply
    151,448.94x = 208,999.71 × 87,823.71
  4. Step 4: Simplify right side
    151,448.94x = 18,355,129,921.12
  5. Step 5: Solve for x
    x = 18,355,129,921.12/151,448.94
  6. Step 6: Final answer
    x = 121,196.82

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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.