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Finding the Fourth Proportional to 135,457.98, 186,938.70 and 81,742.08

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Solution

The fourth proportional to 135,457.98, 186,938.70 and 81,742.08 is: 112,808.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,457.98 : 186,938.70 = 81,742.08 : x
  2. Step 2: Convert to fraction form
    135,457.98/186,938.70 = 81,742.08/x
  3. Step 3: Cross multiply
    135,457.98x = 186,938.70 × 81,742.08
  4. Step 4: Simplify right side
    135,457.98x = 15,280,758,170.50
  5. Step 5: Solve for x
    x = 15,280,758,170.50/135,457.98
  6. Step 6: Final answer
    x = 112,808.11

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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.