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Finding the Fourth Proportional to 97,457.80, 134,490.31 and 54,437.89

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Solution

The fourth proportional to 97,457.80, 134,490.31 and 54,437.89 is: 75,123.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,457.80 : 134,490.31 = 54,437.89 : x
  2. Step 2: Convert to fraction form
    97,457.80/134,490.31 = 54,437.89/x
  3. Step 3: Cross multiply
    97,457.80x = 134,490.31 × 54,437.89
  4. Step 4: Simplify right side
    97,457.80x = 7,321,368,701.85
  5. Step 5: Solve for x
    x = 7,321,368,701.85/97,457.80
  6. Step 6: Final answer
    x = 75,123.48

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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.