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Finding the Fourth Proportional to 119,171.16, 164,457.54 and 65,457.42

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Solution

The fourth proportional to 119,171.16, 164,457.54 and 65,457.42 is: 90,331.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,171.16 : 164,457.54 = 65,457.42 : x
  2. Step 2: Convert to fraction form
    119,171.16/164,457.54 = 65,457.42/x
  3. Step 3: Cross multiply
    119,171.16x = 164,457.54 × 65,457.42
  4. Step 4: Simplify right side
    119,171.16x = 10,764,966,267.95
  5. Step 5: Solve for x
    x = 10,764,966,267.95/119,171.16
  6. Step 6: Final answer
    x = 90,331.98

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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.