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Finding the Fourth Proportional to 138,422.34, 191,008.53 and 78,002.37

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Solution

The fourth proportional to 138,422.34, 191,008.53 and 78,002.37 is: 107,635.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,422.34 : 191,008.53 = 78,002.37 : x
  2. Step 2: Convert to fraction form
    138,422.34/191,008.53 = 78,002.37/x
  3. Step 3: Cross multiply
    138,422.34x = 191,008.53 × 78,002.37
  4. Step 4: Simplify right side
    138,422.34x = 14,899,118,030.22
  5. Step 5: Solve for x
    x = 14,899,118,030.22/138,422.34
  6. Step 6: Final answer
    x = 107,635.21

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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.