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Finding the Fourth Proportional to 135,804, 187,426.80 and 76,188

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Solution

The fourth proportional to 135,804, 187,426.80 and 76,188 is: 105,149.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,804 : 187,426.80 = 76,188 : x
  2. Step 2: Convert to fraction form
    135,804/187,426.80 = 76,188/x
  3. Step 3: Cross multiply
    135,804x = 187,426.80 × 76,188
  4. Step 4: Simplify right side
    135,804x = 14,279,673,038.40
  5. Step 5: Solve for x
    x = 14,279,673,038.40/135,804
  6. Step 6: Final answer
    x = 105,149.13

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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.