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Finding the Fourth Proportional to 223,189.80, 308,122.02 and 172,090.50

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Solution

The fourth proportional to 223,189.80, 308,122.02 and 172,090.50 is: 237,577.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,189.80 : 308,122.02 = 172,090.50 : x
  2. Step 2: Convert to fraction form
    223,189.80/308,122.02 = 172,090.50/x
  3. Step 3: Cross multiply
    223,189.80x = 308,122.02 × 172,090.50
  4. Step 4: Simplify right side
    223,189.80x = 53,024,872,482.81
  5. Step 5: Solve for x
    x = 53,024,872,482.81/223,189.80
  6. Step 6: Final answer
    x = 237,577.49

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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.