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Finding the Fourth Proportional to 261,101, 360,320.34 and 141,869

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Solution

The fourth proportional to 261,101, 360,320.34 and 141,869 is: 195,779.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,101 : 360,320.34 = 141,869 : x
  2. Step 2: Convert to fraction form
    261,101/360,320.34 = 141,869/x
  3. Step 3: Cross multiply
    261,101x = 360,320.34 × 141,869
  4. Step 4: Simplify right side
    261,101x = 51,118,286,315.46
  5. Step 5: Solve for x
    x = 51,118,286,315.46/261,101
  6. Step 6: Final answer
    x = 195,779.74

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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.