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Finding the Fourth Proportional to 105,294.47, 157,883.86 and 51,868.89

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Solution

The fourth proportional to 105,294.47, 157,883.86 and 51,868.89 is: 77,774.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,294.47 : 157,883.86 = 51,868.89 : x
  2. Step 2: Convert to fraction form
    105,294.47/157,883.86 = 51,868.89/x
  3. Step 3: Cross multiply
    105,294.47x = 157,883.86 × 51,868.89
  4. Step 4: Simplify right side
    105,294.47x = 8,189,260,437.44
  5. Step 5: Solve for x
    x = 8,189,260,437.44/105,294.47
  6. Step 6: Final answer
    x = 77,774.84

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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.