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Finding the Fourth Proportional to 117,775.68, 176,580 and 55,412.16

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Solution

The fourth proportional to 117,775.68, 176,580 and 55,412.16 is: 83,078.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,775.68 : 176,580 = 55,412.16 : x
  2. Step 2: Convert to fraction form
    117,775.68/176,580 = 55,412.16/x
  3. Step 3: Cross multiply
    117,775.68x = 176,580 × 55,412.16
  4. Step 4: Simplify right side
    117,775.68x = 9,784,679,212.80
  5. Step 5: Solve for x
    x = 9,784,679,212.80/117,775.68
  6. Step 6: Final answer
    x = 83,078.94

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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.