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Finding the Fourth Proportional to 152,155.66, 209,971.02 and 84,176.42

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Solution

The fourth proportional to 152,155.66, 209,971.02 and 84,176.42 is: 116,161.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,155.66 : 209,971.02 = 84,176.42 : x
  2. Step 2: Convert to fraction form
    152,155.66/209,971.02 = 84,176.42/x
  3. Step 3: Cross multiply
    152,155.66x = 209,971.02 × 84,176.42
  4. Step 4: Simplify right side
    152,155.66x = 17,674,608,767.35
  5. Step 5: Solve for x
    x = 17,674,608,767.35/152,155.66
  6. Step 6: Final answer
    x = 116,161.36

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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.