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Finding the Fourth Proportional to 127,970.34, 191,978.04 and 43,710.78

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Solution

The fourth proportional to 127,970.34, 191,978.04 and 43,710.78 is: 65,573.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,970.34 : 191,978.04 = 43,710.78 : x
  2. Step 2: Convert to fraction form
    127,970.34/191,978.04 = 43,710.78/x
  3. Step 3: Cross multiply
    127,970.34x = 191,978.04 × 43,710.78
  4. Step 4: Simplify right side
    127,970.34x = 8,391,509,871.27
  5. Step 5: Solve for x
    x = 8,391,509,871.27/127,970.34
  6. Step 6: Final answer
    x = 65,573.87

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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.