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Finding the Fourth Proportional to 105,460.80, 157,960.80 and 81,902.40

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Solution

The fourth proportional to 105,460.80, 157,960.80 and 81,902.40 is: 122,674.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,460.80 : 157,960.80 = 81,902.40 : x
  2. Step 2: Convert to fraction form
    105,460.80/157,960.80 = 81,902.40/x
  3. Step 3: Cross multiply
    105,460.80x = 157,960.80 × 81,902.40
  4. Step 4: Simplify right side
    105,460.80x = 12,937,368,625.92
  5. Step 5: Solve for x
    x = 12,937,368,625.92/105,460.80
  6. Step 6: Final answer
    x = 122,674.67

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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.