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Finding the Fourth Proportional to 138,897.79, 191,677.93 and 78,467.34

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Solution

The fourth proportional to 138,897.79, 191,677.93 and 78,467.34 is: 108,284.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,897.79 : 191,677.93 = 78,467.34 : x
  2. Step 2: Convert to fraction form
    138,897.79/191,677.93 = 78,467.34/x
  3. Step 3: Cross multiply
    138,897.79x = 191,677.93 × 78,467.34
  4. Step 4: Simplify right side
    138,897.79x = 15,040,457,303.81
  5. Step 5: Solve for x
    x = 15,040,457,303.81/138,897.79
  6. Step 6: Final answer
    x = 108,284.35

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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.