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Finding the Fourth Proportional to 90,457.97, 135,699.10 and 34,318.89

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Solution

The fourth proportional to 90,457.97, 135,699.10 and 34,318.89 is: 51,482.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,457.97 : 135,699.10 = 34,318.89 : x
  2. Step 2: Convert to fraction form
    90,457.97/135,699.10 = 34,318.89/x
  3. Step 3: Cross multiply
    90,457.97x = 135,699.10 × 34,318.89
  4. Step 4: Simplify right side
    90,457.97x = 4,657,042,400.20
  5. Step 5: Solve for x
    x = 4,657,042,400.20/90,457.97
  6. Step 6: Final answer
    x = 51,482.94

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.