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Finding the Fourth Proportional to 137,508.30, 189,774.90 and 77,079.06

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Solution

The fourth proportional to 137,508.30, 189,774.90 and 77,079.06 is: 106,376.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,508.30 : 189,774.90 = 77,079.06 : x
  2. Step 2: Convert to fraction form
    137,508.30/189,774.90 = 77,079.06/x
  3. Step 3: Cross multiply
    137,508.30x = 189,774.90 × 77,079.06
  4. Step 4: Simplify right side
    137,508.30x = 14,627,670,903.59
  5. Step 5: Solve for x
    x = 14,627,670,903.59/137,508.30
  6. Step 6: Final answer
    x = 106,376.64

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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.