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Finding the Fourth Proportional to 97,071.92, 144,828.15 and 86,415.41

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Solution

The fourth proportional to 97,071.92, 144,828.15 and 86,415.41 is: 128,928.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,071.92 : 144,828.15 = 86,415.41 : x
  2. Step 2: Convert to fraction form
    97,071.92/144,828.15 = 86,415.41/x
  3. Step 3: Cross multiply
    97,071.92x = 144,828.15 × 86,415.41
  4. Step 4: Simplify right side
    97,071.92x = 12,515,383,671.23
  5. Step 5: Solve for x
    x = 12,515,383,671.23/97,071.92
  6. Step 6: Final answer
    x = 128,928.98

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.