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Finding the Fourth Proportional to 70,510.80, 105,738.76 and 35,426

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Solution

The fourth proportional to 70,510.80, 105,738.76 and 35,426 is: 53,125.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,510.80 : 105,738.76 = 35,426 : x
  2. Step 2: Convert to fraction form
    70,510.80/105,738.76 = 35,426/x
  3. Step 3: Cross multiply
    70,510.80x = 105,738.76 × 35,426
  4. Step 4: Simplify right side
    70,510.80x = 3,745,901,311.76
  5. Step 5: Solve for x
    x = 3,745,901,311.76/70,510.80
  6. Step 6: Final answer
    x = 53,125.21

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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.