Home / 165,945-229,021.38-102,281.16

Finding the Fourth Proportional to 165,945, 229,021.38 and 102,281.16

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Solution

The fourth proportional to 165,945, 229,021.38 and 102,281.16 is: 141,158.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,945 : 229,021.38 = 102,281.16 : x
  2. Step 2: Convert to fraction form
    165,945/229,021.38 = 102,281.16/x
  3. Step 3: Cross multiply
    165,945x = 229,021.38 × 102,281.16
  4. Step 4: Simplify right side
    165,945x = 23,424,572,411.20
  5. Step 5: Solve for x
    x = 23,424,572,411.20/165,945
  6. Step 6: Final answer
    x = 141,158.65

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1.5x scale

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.