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Finding the Fourth Proportional to 137,783.63, 190,126.74 and 77,360.87

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Solution

The fourth proportional to 137,783.63, 190,126.74 and 77,360.87 is: 106,749.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,783.63 : 190,126.74 = 77,360.87 : x
  2. Step 2: Convert to fraction form
    137,783.63/190,126.74 = 77,360.87/x
  3. Step 3: Cross multiply
    137,783.63x = 190,126.74 × 77,360.87
  4. Step 4: Simplify right side
    137,783.63x = 14,708,370,782.08
  5. Step 5: Solve for x
    x = 14,708,370,782.08/137,783.63
  6. Step 6: Final answer
    x = 106,749.77

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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.