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Finding the Fourth Proportional to 129,705.63, 178,996.50 and 73,117

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Solution

The fourth proportional to 129,705.63, 178,996.50 and 73,117 is: 100,903.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,705.63 : 178,996.50 = 73,117 : x
  2. Step 2: Convert to fraction form
    129,705.63/178,996.50 = 73,117/x
  3. Step 3: Cross multiply
    129,705.63x = 178,996.50 × 73,117
  4. Step 4: Simplify right side
    129,705.63x = 13,087,687,090.50
  5. Step 5: Solve for x
    x = 13,087,687,090.50/129,705.63
  6. Step 6: Final answer
    x = 100,903.00

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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.