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Finding the Fourth Proportional to 223,387, 308,274.06 and 122,785

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Solution

The fourth proportional to 223,387, 308,274.06 and 122,785 is: 169,443.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,387 : 308,274.06 = 122,785 : x
  2. Step 2: Convert to fraction form
    223,387/308,274.06 = 122,785/x
  3. Step 3: Cross multiply
    223,387x = 308,274.06 × 122,785
  4. Step 4: Simplify right side
    223,387x = 37,851,430,457.10
  5. Step 5: Solve for x
    x = 37,851,430,457.10/223,387
  6. Step 6: Final answer
    x = 169,443.30

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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.