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Finding the Fourth Proportional to 137,483.84, 189,727.43 and 77,054.46

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Solution

The fourth proportional to 137,483.84, 189,727.43 and 77,054.46 is: 106,335.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,483.84 : 189,727.43 = 77,054.46 : x
  2. Step 2: Convert to fraction form
    137,483.84/189,727.43 = 77,054.46/x
  3. Step 3: Cross multiply
    137,483.84x = 189,727.43 × 77,054.46
  4. Step 4: Simplify right side
    137,483.84x = 14,619,344,858.47
  5. Step 5: Solve for x
    x = 14,619,344,858.47/137,483.84
  6. Step 6: Final answer
    x = 106,335.01

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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.