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Finding the Fourth Proportional to 70,417.84, 105,471.96 and 66,535.96

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Solution

The fourth proportional to 70,417.84, 105,471.96 and 66,535.96 is: 99,657.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,417.84 : 105,471.96 = 66,535.96 : x
  2. Step 2: Convert to fraction form
    70,417.84/105,471.96 = 66,535.96/x
  3. Step 3: Cross multiply
    70,417.84x = 105,471.96 × 66,535.96
  4. Step 4: Simplify right side
    70,417.84x = 7,017,678,111.68
  5. Step 5: Solve for x
    x = 7,017,678,111.68/70,417.84
  6. Step 6: Final answer
    x = 99,657.67

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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.