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Finding the Fourth Proportional to 223,409.40, 308,292.16 and 121,434.03

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Solution

The fourth proportional to 223,409.40, 308,292.16 and 121,434.03 is: 167,572.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,409.40 : 308,292.16 = 121,434.03 : x
  2. Step 2: Convert to fraction form
    223,409.40/308,292.16 = 121,434.03/x
  3. Step 3: Cross multiply
    223,409.40x = 308,292.16 × 121,434.03
  4. Step 4: Simplify right side
    223,409.40x = 37,437,159,625.84
  5. Step 5: Solve for x
    x = 37,437,159,625.84/223,409.40
  6. Step 6: Final answer
    x = 167,572.00

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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.