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Finding the Fourth Proportional to 78,126.48, 107,795.88 and 46,289.88

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Solution

The fourth proportional to 78,126.48, 107,795.88 and 46,289.88 is: 63,868.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,126.48 : 107,795.88 = 46,289.88 : x
  2. Step 2: Convert to fraction form
    78,126.48/107,795.88 = 46,289.88/x
  3. Step 3: Cross multiply
    78,126.48x = 107,795.88 × 46,289.88
  4. Step 4: Simplify right side
    78,126.48x = 4,989,858,349.69
  5. Step 5: Solve for x
    x = 4,989,858,349.69/78,126.48
  6. Step 6: Final answer
    x = 63,868.98

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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.