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Finding the Fourth Proportional to 135,457.47, 186,921.14 and 78,056.01

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Solution

The fourth proportional to 135,457.47, 186,921.14 and 78,056.01 is: 107,711.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,457.47 : 186,921.14 = 78,056.01 : x
  2. Step 2: Convert to fraction form
    135,457.47/186,921.14 = 78,056.01/x
  3. Step 3: Cross multiply
    135,457.47x = 186,921.14 × 78,056.01
  4. Step 4: Simplify right side
    135,457.47x = 14,590,317,982.77
  5. Step 5: Solve for x
    x = 14,590,317,982.77/135,457.47
  6. Step 6: Final answer
    x = 107,711.43

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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.