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Finding the Fourth Proportional to 261,718.81, 392,578.34 and 84,225.80

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Solution

The fourth proportional to 261,718.81, 392,578.34 and 84,225.80 is: 126,338.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,718.81 : 392,578.34 = 84,225.80 : x
  2. Step 2: Convert to fraction form
    261,718.81/392,578.34 = 84,225.80/x
  3. Step 3: Cross multiply
    261,718.81x = 392,578.34 × 84,225.80
  4. Step 4: Simplify right side
    261,718.81x = 33,065,224,749.17
  5. Step 5: Solve for x
    x = 33,065,224,749.17/261,718.81
  6. Step 6: Final answer
    x = 126,338.74

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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.