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Finding the Fourth Proportional to 101,459, 140,013.90 and 56,747

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Solution

The fourth proportional to 101,459, 140,013.90 and 56,747 is: 78,311.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,459 : 140,013.90 = 56,747 : x
  2. Step 2: Convert to fraction form
    101,459/140,013.90 = 56,747/x
  3. Step 3: Cross multiply
    101,459x = 140,013.90 × 56,747
  4. Step 4: Simplify right side
    101,459x = 7,945,368,783.30
  5. Step 5: Solve for x
    x = 7,945,368,783.30/101,459
  6. Step 6: Final answer
    x = 78,311.13

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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.