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Finding the Fourth Proportional to 138,602.91, 191,278.53 and 78,172.28

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Solution

The fourth proportional to 138,602.91, 191,278.53 and 78,172.28 is: 107,881.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,602.91 : 191,278.53 = 78,172.28 : x
  2. Step 2: Convert to fraction form
    138,602.91/191,278.53 = 78,172.28/x
  3. Step 3: Cross multiply
    138,602.91x = 191,278.53 × 78,172.28
  4. Step 4: Simplify right side
    138,602.91x = 14,952,677,848.76
  5. Step 5: Solve for x
    x = 14,952,677,848.76/138,602.91
  6. Step 6: Final answer
    x = 107,881.41

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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.