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Finding the Fourth Proportional to 136,881.96, 205,153.43 and 77,537.72

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Solution

The fourth proportional to 136,881.96, 205,153.43 and 77,537.72 is: 116,210.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,881.96 : 205,153.43 = 77,537.72 : x
  2. Step 2: Convert to fraction form
    136,881.96/205,153.43 = 77,537.72/x
  3. Step 3: Cross multiply
    136,881.96x = 205,153.43 × 77,537.72
  4. Step 4: Simplify right side
    136,881.96x = 15,907,127,798.92
  5. Step 5: Solve for x
    x = 15,907,127,798.92/136,881.96
  6. Step 6: Final answer
    x = 116,210.55

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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.