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Finding the Fourth Proportional to 138,706.59, 191,415.02 and 78,289.90

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Solution

The fourth proportional to 138,706.59, 191,415.02 and 78,289.90 is: 108,040.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,706.59 : 191,415.02 = 78,289.90 : x
  2. Step 2: Convert to fraction form
    138,706.59/191,415.02 = 78,289.90/x
  3. Step 3: Cross multiply
    138,706.59x = 191,415.02 × 78,289.90
  4. Step 4: Simplify right side
    138,706.59x = 14,985,862,774.30
  5. Step 5: Solve for x
    x = 14,985,862,774.30/138,706.59
  6. Step 6: Final answer
    x = 108,040.02

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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.