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Finding the Fourth Proportional to 134,541.63, 185,661.47 and 77,139.88

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Solution

The fourth proportional to 134,541.63, 185,661.47 and 77,139.88 is: 106,449.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,541.63 : 185,661.47 = 77,139.88 : x
  2. Step 2: Convert to fraction form
    134,541.63/185,661.47 = 77,139.88/x
  3. Step 3: Cross multiply
    134,541.63x = 185,661.47 × 77,139.88
  4. Step 4: Simplify right side
    134,541.63x = 14,321,903,245.12
  5. Step 5: Solve for x
    x = 14,321,903,245.12/134,541.63
  6. Step 6: Final answer
    x = 106,449.60

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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.