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Finding the Fourth Proportional to 106,889.56, 160,389.70 and 77,549.59

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Solution

The fourth proportional to 106,889.56, 160,389.70 and 77,549.59 is: 116,364.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,889.56 : 160,389.70 = 77,549.59 : x
  2. Step 2: Convert to fraction form
    106,889.56/160,389.70 = 77,549.59/x
  3. Step 3: Cross multiply
    106,889.56x = 160,389.70 × 77,549.59
  4. Step 4: Simplify right side
    106,889.56x = 12,438,155,475.22
  5. Step 5: Solve for x
    x = 12,438,155,475.22/106,889.56
  6. Step 6: Final answer
    x = 116,364.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.