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Finding the Fourth Proportional to 115,715.74, 159,623.42 and 67,312.22

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Solution

The fourth proportional to 115,715.74, 159,623.42 and 67,312.22 is: 92,853.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,715.74 : 159,623.42 = 67,312.22 : x
  2. Step 2: Convert to fraction form
    115,715.74/159,623.42 = 67,312.22/x
  3. Step 3: Cross multiply
    115,715.74x = 159,623.42 × 67,312.22
  4. Step 4: Simplify right side
    115,715.74x = 10,744,607,278.64
  5. Step 5: Solve for x
    x = 10,744,607,278.64/115,715.74
  6. Step 6: Final answer
    x = 92,853.46

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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.