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Finding the Fourth Proportional to 101,898.42, 140,624.21 and 56,576.40

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Solution

The fourth proportional to 101,898.42, 140,624.21 and 56,576.40 is: 78,077.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,898.42 : 140,624.21 = 56,576.40 : x
  2. Step 2: Convert to fraction form
    101,898.42/140,624.21 = 56,576.40/x
  3. Step 3: Cross multiply
    101,898.42x = 140,624.21 × 56,576.40
  4. Step 4: Simplify right side
    101,898.42x = 7,956,011,554.64
  5. Step 5: Solve for x
    x = 7,956,011,554.64/101,898.42
  6. Step 6: Final answer
    x = 78,077.87

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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.