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Finding the Fourth Proportional to 202,143, 303,316.80 and 134,721.06

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Solution

The fourth proportional to 202,143, 303,316.80 and 134,721.06 is: 202,149.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,143 : 303,316.80 = 134,721.06 : x
  2. Step 2: Convert to fraction form
    202,143/303,316.80 = 134,721.06/x
  3. Step 3: Cross multiply
    202,143x = 303,316.80 × 134,721.06
  4. Step 4: Simplify right side
    202,143x = 40,863,160,811.81
  5. Step 5: Solve for x
    x = 40,863,160,811.81/202,143
  6. Step 6: Final answer
    x = 202,149.77

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1.5x scale

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.