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Finding the Fourth Proportional to 137,160.61, 189,272.75 and 76,720.89

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Solution

The fourth proportional to 137,160.61, 189,272.75 and 76,720.89 is: 105,869.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,160.61 : 189,272.75 = 76,720.89 : x
  2. Step 2: Convert to fraction form
    137,160.61/189,272.75 = 76,720.89/x
  3. Step 3: Cross multiply
    137,160.61x = 189,272.75 × 76,720.89
  4. Step 4: Simplify right side
    137,160.61x = 14,521,173,525.81
  5. Step 5: Solve for x
    x = 14,521,173,525.81/137,160.61
  6. Step 6: Final answer
    x = 105,869.85

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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.