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Finding the Fourth Proportional to 223,798.68, 308,848.63 and 121,830.74

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Solution

The fourth proportional to 223,798.68, 308,848.63 and 121,830.74 is: 168,129.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,798.68 : 308,848.63 = 121,830.74 : x
  2. Step 2: Convert to fraction form
    223,798.68/308,848.63 = 121,830.74/x
  3. Step 3: Cross multiply
    223,798.68x = 308,848.63 × 121,830.74
  4. Step 4: Simplify right side
    223,798.68x = 37,627,257,140.89
  5. Step 5: Solve for x
    x = 37,627,257,140.89/223,798.68
  6. Step 6: Final answer
    x = 168,129.93

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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.