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Finding the Fourth Proportional to 101,709.29, 140,362.23 and 56,384.57

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Solution

The fourth proportional to 101,709.29, 140,362.23 and 56,384.57 is: 77,812.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,709.29 : 140,362.23 = 56,384.57 : x
  2. Step 2: Convert to fraction form
    101,709.29/140,362.23 = 56,384.57/x
  3. Step 3: Cross multiply
    101,709.29x = 140,362.23 × 56,384.57
  4. Step 4: Simplify right side
    101,709.29x = 7,914,263,982.79
  5. Step 5: Solve for x
    x = 7,914,263,982.79/101,709.29
  6. Step 6: Final answer
    x = 77,812.60

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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.