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Finding the Fourth Proportional to 115,315.72, 159,135.43 and 65,014.36

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Solution

The fourth proportional to 115,315.72, 159,135.43 and 65,014.36 is: 89,719.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,315.72 : 159,135.43 = 65,014.36 : x
  2. Step 2: Convert to fraction form
    115,315.72/159,135.43 = 65,014.36/x
  3. Step 3: Cross multiply
    115,315.72x = 159,135.43 × 65,014.36
  4. Step 4: Simplify right side
    115,315.72x = 10,346,088,134.77
  5. Step 5: Solve for x
    x = 10,346,088,134.77/115,315.72
  6. Step 6: Final answer
    x = 89,719.67

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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.