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Finding the Fourth Proportional to 128,820.18, 177,773.64 and 77,825.82

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Solution

The fourth proportional to 128,820.18, 177,773.64 and 77,825.82 is: 107,400.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,820.18 : 177,773.64 = 77,825.82 : x
  2. Step 2: Convert to fraction form
    128,820.18/177,773.64 = 77,825.82/x
  3. Step 3: Cross multiply
    128,820.18x = 177,773.64 × 77,825.82
  4. Step 4: Simplify right side
    128,820.18x = 13,835,379,307.38
  5. Step 5: Solve for x
    x = 13,835,379,307.38/128,820.18
  6. Step 6: Final answer
    x = 107,400.71

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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.