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Finding the Fourth Proportional to 164,929.50, 227,602.80 and 89,478

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Solution

The fourth proportional to 164,929.50, 227,602.80 and 89,478 is: 123,479.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,929.50 : 227,602.80 = 89,478 : x
  2. Step 2: Convert to fraction form
    164,929.50/227,602.80 = 89,478/x
  3. Step 3: Cross multiply
    164,929.50x = 227,602.80 × 89,478
  4. Step 4: Simplify right side
    164,929.50x = 20,365,443,338.40
  5. Step 5: Solve for x
    x = 20,365,443,338.40/164,929.50
  6. Step 6: Final answer
    x = 123,479.69

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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.