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Finding the Fourth Proportional to 138,795.67, 191,536.34 and 78,368.86

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Solution

The fourth proportional to 138,795.67, 191,536.34 and 78,368.86 is: 108,148.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,795.67 : 191,536.34 = 78,368.86 : x
  2. Step 2: Convert to fraction form
    138,795.67/191,536.34 = 78,368.86/x
  3. Step 3: Cross multiply
    138,795.67x = 191,536.34 × 78,368.86
  4. Step 4: Simplify right side
    138,795.67x = 15,010,484,331.45
  5. Step 5: Solve for x
    x = 15,010,484,331.45/138,795.67
  6. Step 6: Final answer
    x = 108,148.08

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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.