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Finding the Fourth Proportional to 127,830.80, 191,308.44 and 105,374.48

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Solution

The fourth proportional to 127,830.80, 191,308.44 and 105,374.48 is: 157,700.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,830.80 : 191,308.44 = 105,374.48 : x
  2. Step 2: Convert to fraction form
    127,830.80/191,308.44 = 105,374.48/x
  3. Step 3: Cross multiply
    127,830.80x = 191,308.44 × 105,374.48
  4. Step 4: Simplify right side
    127,830.80x = 20,159,027,384.61
  5. Step 5: Solve for x
    x = 20,159,027,384.61/127,830.80
  6. Step 6: Final answer
    x = 157,700.86

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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.