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Finding the Fourth Proportional to 137,484.59, 189,728.48 and 77,055.21

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Solution

The fourth proportional to 137,484.59, 189,728.48 and 77,055.21 is: 106,336.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,484.59 : 189,728.48 = 77,055.21 : x
  2. Step 2: Convert to fraction form
    137,484.59/189,728.48 = 77,055.21/x
  3. Step 3: Cross multiply
    137,484.59x = 189,728.48 × 77,055.21
  4. Step 4: Simplify right side
    137,484.59x = 14,619,567,484.10
  5. Step 5: Solve for x
    x = 14,619,567,484.10/137,484.59
  6. Step 6: Final answer
    x = 106,336.05

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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.