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Finding the Fourth Proportional to 136,899.78, 205,349.54 and 51,526.58

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Solution

The fourth proportional to 136,899.78, 205,349.54 and 51,526.58 is: 77,289.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,899.78 : 205,349.54 = 51,526.58 : x
  2. Step 2: Convert to fraction form
    136,899.78/205,349.54 = 51,526.58/x
  3. Step 3: Cross multiply
    136,899.78x = 205,349.54 × 51,526.58
  4. Step 4: Simplify right side
    136,899.78x = 10,580,959,500.77
  5. Step 5: Solve for x
    x = 10,580,959,500.77/136,899.78
  6. Step 6: Final answer
    x = 77,289.82

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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.