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Finding the Fourth Proportional to 115,744.88, 159,739.84 and 70,426.16

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Solution

The fourth proportional to 115,744.88, 159,739.84 and 70,426.16 is: 97,195.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,744.88 : 159,739.84 = 70,426.16 : x
  2. Step 2: Convert to fraction form
    115,744.88/159,739.84 = 70,426.16/x
  3. Step 3: Cross multiply
    115,744.88x = 159,739.84 × 70,426.16
  4. Step 4: Simplify right side
    115,744.88x = 11,249,863,530.21
  5. Step 5: Solve for x
    x = 11,249,863,530.21/115,744.88
  6. Step 6: Final answer
    x = 97,195.34

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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.