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Finding the Fourth Proportional to 91,289.27, 125,978.34 and 51,009.98

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Solution

The fourth proportional to 91,289.27, 125,978.34 and 51,009.98 is: 70,393.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,289.27 : 125,978.34 = 51,009.98 : x
  2. Step 2: Convert to fraction form
    91,289.27/125,978.34 = 51,009.98/x
  3. Step 3: Cross multiply
    91,289.27x = 125,978.34 × 51,009.98
  4. Step 4: Simplify right side
    91,289.27x = 6,426,152,165.23
  5. Step 5: Solve for x
    x = 6,426,152,165.23/91,289.27
  6. Step 6: Final answer
    x = 70,393.29

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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.