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Finding the Fourth Proportional to 128,577.89, 177,443.90 and 77,589.77

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Solution

The fourth proportional to 128,577.89, 177,443.90 and 77,589.77 is: 107,077.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,577.89 : 177,443.90 = 77,589.77 : x
  2. Step 2: Convert to fraction form
    128,577.89/177,443.90 = 77,589.77/x
  3. Step 3: Cross multiply
    128,577.89x = 177,443.90 × 77,589.77
  4. Step 4: Simplify right side
    128,577.89x = 13,767,830,113.73
  5. Step 5: Solve for x
    x = 13,767,830,113.73/128,577.89
  6. Step 6: Final answer
    x = 107,077.75

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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.