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Finding the Fourth Proportional to 134,534.50, 185,657.61 and 77,978.68

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Solution

The fourth proportional to 134,534.50, 185,657.61 and 77,978.68 is: 107,610.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,534.50 : 185,657.61 = 77,978.68 : x
  2. Step 2: Convert to fraction form
    134,534.50/185,657.61 = 77,978.68/x
  3. Step 3: Cross multiply
    134,534.50x = 185,657.61 × 77,978.68
  4. Step 4: Simplify right side
    134,534.50x = 14,477,335,359.75
  5. Step 5: Solve for x
    x = 14,477,335,359.75/134,534.50
  6. Step 6: Final answer
    x = 107,610.58

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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.