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Finding the Fourth Proportional to 70,283.46, 105,678.09 and 64,803.81

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Solution

The fourth proportional to 70,283.46, 105,678.09 and 64,803.81 is: 97,438.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,283.46 : 105,678.09 = 64,803.81 : x
  2. Step 2: Convert to fraction form
    70,283.46/105,678.09 = 64,803.81/x
  3. Step 3: Cross multiply
    70,283.46x = 105,678.09 × 64,803.81
  4. Step 4: Simplify right side
    70,283.46x = 6,848,342,865.52
  5. Step 5: Solve for x
    x = 6,848,342,865.52/70,283.46
  6. Step 6: Final answer
    x = 97,438.90

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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.