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Finding the Fourth Proportional to 261,523.83, 392,271.90 and 84,017.01

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Solution

The fourth proportional to 261,523.83, 392,271.90 and 84,017.01 is: 126,021.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,523.83 : 392,271.90 = 84,017.01 : x
  2. Step 2: Convert to fraction form
    261,523.83/392,271.90 = 84,017.01/x
  3. Step 3: Cross multiply
    261,523.83x = 392,271.90 × 84,017.01
  4. Step 4: Simplify right side
    261,523.83x = 32,957,512,145.02
  5. Step 5: Solve for x
    x = 32,957,512,145.02/261,523.83
  6. Step 6: Final answer
    x = 126,021.07

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.