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Finding the Fourth Proportional to 137,529.54, 189,806.50 and 77,116.50

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Solution

The fourth proportional to 137,529.54, 189,806.50 and 77,116.50 is: 106,429.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,529.54 : 189,806.50 = 77,116.50 : x
  2. Step 2: Convert to fraction form
    137,529.54/189,806.50 = 77,116.50/x
  3. Step 3: Cross multiply
    137,529.54x = 189,806.50 × 77,116.50
  4. Step 4: Simplify right side
    137,529.54x = 14,637,212,957.25
  5. Step 5: Solve for x
    x = 14,637,212,957.25/137,529.54
  6. Step 6: Final answer
    x = 106,429.59

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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.