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Finding the Fourth Proportional to 164,520, 227,037.65 and 89,068.50

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Solution

The fourth proportional to 164,520, 227,037.65 and 89,068.50 is: 122,914.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,520 : 227,037.65 = 89,068.50 : x
  2. Step 2: Convert to fraction form
    164,520/227,037.65 = 89,068.50/x
  3. Step 3: Cross multiply
    164,520x = 227,037.65 × 89,068.50
  4. Step 4: Simplify right side
    164,520x = 20,221,902,483.68
  5. Step 5: Solve for x
    x = 20,221,902,483.68/164,520
  6. Step 6: Final answer
    x = 122,914.55

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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.