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Finding the Fourth Proportional to 138,456.40, 191,070.58 and 78,027.98

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Solution

The fourth proportional to 138,456.40, 191,070.58 and 78,027.98 is: 107,679.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,456.40 : 191,070.58 = 78,027.98 : x
  2. Step 2: Convert to fraction form
    138,456.40/191,070.58 = 78,027.98/x
  3. Step 3: Cross multiply
    138,456.40x = 191,070.58 × 78,027.98
  4. Step 4: Simplify right side
    138,456.40x = 14,908,851,394.83
  5. Step 5: Solve for x
    x = 14,908,851,394.83/138,456.40
  6. Step 6: Final answer
    x = 107,679.03

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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.