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Finding the Fourth Proportional to 114,438.96, 171,775.08 and 78,902.64

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Solution

The fourth proportional to 114,438.96, 171,775.08 and 78,902.64 is: 118,434.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,438.96 : 171,775.08 = 78,902.64 : x
  2. Step 2: Convert to fraction form
    114,438.96/171,775.08 = 78,902.64/x
  3. Step 3: Cross multiply
    114,438.96x = 171,775.08 × 78,902.64
  4. Step 4: Simplify right side
    114,438.96x = 13,553,507,298.21
  5. Step 5: Solve for x
    x = 13,553,507,298.21/114,438.96
  6. Step 6: Final answer
    x = 118,434.38

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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.