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Finding the Fourth Proportional to 117,457.16, 176,207.60 and 53,419.91

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Solution

The fourth proportional to 117,457.16, 176,207.60 and 53,419.91 is: 80,139.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,457.16 : 176,207.60 = 53,419.91 : x
  2. Step 2: Convert to fraction form
    117,457.16/176,207.60 = 53,419.91/x
  3. Step 3: Cross multiply
    117,457.16x = 176,207.60 × 53,419.91
  4. Step 4: Simplify right side
    117,457.16x = 9,412,993,385.83
  5. Step 5: Solve for x
    x = 9,412,993,385.83/117,457.16
  6. Step 6: Final answer
    x = 80,139.80

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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.