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Finding the Fourth Proportional to 191,830, 264,759.60 and 120,271.36

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Solution

The fourth proportional to 191,830, 264,759.60 and 120,271.36 is: 165,995.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,830 : 264,759.60 = 120,271.36 : x
  2. Step 2: Convert to fraction form
    191,830/264,759.60 = 120,271.36/x
  3. Step 3: Cross multiply
    191,830x = 264,759.60 × 120,271.36
  4. Step 4: Simplify right side
    191,830x = 31,842,997,165.06
  5. Step 5: Solve for x
    x = 31,842,997,165.06/191,830
  6. Step 6: Final answer
    x = 165,995.92

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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.