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Finding the Fourth Proportional to 136,885.96, 205,159.38 and 77,541.76

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Solution

The fourth proportional to 136,885.96, 205,159.38 and 77,541.76 is: 116,216.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,885.96 : 205,159.38 = 77,541.76 : x
  2. Step 2: Convert to fraction form
    136,885.96/205,159.38 = 77,541.76/x
  3. Step 3: Cross multiply
    136,885.96x = 205,159.38 × 77,541.76
  4. Step 4: Simplify right side
    136,885.96x = 15,908,419,405.71
  5. Step 5: Solve for x
    x = 15,908,419,405.71/136,885.96
  6. Step 6: Final answer
    x = 116,216.59

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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.