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Finding the Fourth Proportional to 137,554.34, 189,822.58 and 77,124.80

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Solution

The fourth proportional to 137,554.34, 189,822.58 and 77,124.80 is: 106,430.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,554.34 : 189,822.58 = 77,124.80 : x
  2. Step 2: Convert to fraction form
    137,554.34/189,822.58 = 77,124.80/x
  3. Step 3: Cross multiply
    137,554.34x = 189,822.58 × 77,124.80
  4. Step 4: Simplify right side
    137,554.34x = 14,640,028,421.58
  5. Step 5: Solve for x
    x = 14,640,028,421.58/137,554.34
  6. Step 6: Final answer
    x = 106,430.87

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.