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Finding the Fourth Proportional to 77,129.95, 115,665.72 and 42,050.51

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Solution

The fourth proportional to 77,129.95, 115,665.72 and 42,050.51 is: 63,059.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,129.95 : 115,665.72 = 42,050.51 : x
  2. Step 2: Convert to fraction form
    77,129.95/115,665.72 = 42,050.51/x
  3. Step 3: Cross multiply
    77,129.95x = 115,665.72 × 42,050.51
  4. Step 4: Simplify right side
    77,129.95x = 4,863,801,832.06
  5. Step 5: Solve for x
    x = 4,863,801,832.06/77,129.95
  6. Step 6: Final answer
    x = 63,059.84

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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.