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Finding the Fourth Proportional to 137,483.71, 189,727.27 and 77,054.34

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Solution

The fourth proportional to 137,483.71, 189,727.27 and 77,054.34 is: 106,334.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,483.71 : 189,727.27 = 77,054.34 : x
  2. Step 2: Convert to fraction form
    137,483.71/189,727.27 = 77,054.34/x
  3. Step 3: Cross multiply
    137,483.71x = 189,727.27 × 77,054.34
  4. Step 4: Simplify right side
    137,483.71x = 14,619,308,235.94
  5. Step 5: Solve for x
    x = 14,619,308,235.94/137,483.71
  6. Step 6: Final answer
    x = 106,334.84

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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.