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Finding the Fourth Proportional to 223,391.69, 308,283.65 and 121,417.12

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Solution

The fourth proportional to 223,391.69, 308,283.65 and 121,417.12 is: 167,557.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,391.69 : 308,283.65 = 121,417.12 : x
  2. Step 2: Convert to fraction form
    223,391.69/308,283.65 = 121,417.12/x
  3. Step 3: Cross multiply
    223,391.69x = 308,283.65 × 121,417.12
  4. Step 4: Simplify right side
    223,391.69x = 37,430,911,384.67
  5. Step 5: Solve for x
    x = 37,430,911,384.67/223,391.69
  6. Step 6: Final answer
    x = 167,557.32

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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.