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Finding the Fourth Proportional to 106,902.84, 147,428.46 and 91,790.76

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Solution

The fourth proportional to 106,902.84, 147,428.46 and 91,790.76 is: 126,587.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,902.84 : 147,428.46 = 91,790.76 : x
  2. Step 2: Convert to fraction form
    106,902.84/147,428.46 = 91,790.76/x
  3. Step 3: Cross multiply
    106,902.84x = 147,428.46 × 91,790.76
  4. Step 4: Simplify right side
    106,902.84x = 13,532,570,389.03
  5. Step 5: Solve for x
    x = 13,532,570,389.03/106,902.84
  6. Step 6: Final answer
    x = 126,587.57

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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.