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Finding the Fourth Proportional to 223,902.36, 308,988.54 and 128,417.94

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Solution

The fourth proportional to 223,902.36, 308,988.54 and 128,417.94 is: 177,218.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,902.36 : 308,988.54 = 128,417.94 : x
  2. Step 2: Convert to fraction form
    223,902.36/308,988.54 = 128,417.94/x
  3. Step 3: Cross multiply
    223,902.36x = 308,988.54 × 128,417.94
  4. Step 4: Simplify right side
    223,902.36x = 39,679,671,790.41
  5. Step 5: Solve for x
    x = 39,679,671,790.41/223,902.36
  6. Step 6: Final answer
    x = 177,218.64

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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.