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Finding the Fourth Proportional to 226,032, 311,938.75 and 125,430

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Solution

The fourth proportional to 226,032, 311,938.75 and 125,430 is: 173,101.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,032 : 311,938.75 = 125,430 : x
  2. Step 2: Convert to fraction form
    226,032/311,938.75 = 125,430/x
  3. Step 3: Cross multiply
    226,032x = 311,938.75 × 125,430
  4. Step 4: Simplify right side
    226,032x = 39,126,477,412.50
  5. Step 5: Solve for x
    x = 39,126,477,412.50/226,032
  6. Step 6: Final answer
    x = 173,101.50

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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.