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Finding the Fourth Proportional to 191,428, 264,170.64 and 111,940

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Solution

The fourth proportional to 191,428, 264,170.64 and 111,940 is: 154,477.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,428 : 264,170.64 = 111,940 : x
  2. Step 2: Convert to fraction form
    191,428/264,170.64 = 111,940/x
  3. Step 3: Cross multiply
    191,428x = 264,170.64 × 111,940
  4. Step 4: Simplify right side
    191,428x = 29,571,261,441.60
  5. Step 5: Solve for x
    x = 29,571,261,441.60/191,428
  6. Step 6: Final answer
    x = 154,477.20

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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.