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Finding the Fourth Proportional to 134,534.63, 185,657.79 and 77,978.81

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Solution

The fourth proportional to 134,534.63, 185,657.79 and 77,978.81 is: 107,610.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,534.63 : 185,657.79 = 77,978.81 : x
  2. Step 2: Convert to fraction form
    134,534.63/185,657.79 = 77,978.81/x
  3. Step 3: Cross multiply
    134,534.63x = 185,657.79 × 77,978.81
  4. Step 4: Simplify right side
    134,534.63x = 14,477,372,603.14
  5. Step 5: Solve for x
    x = 14,477,372,603.14/134,534.63
  6. Step 6: Final answer
    x = 107,610.76

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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.