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Finding the Fourth Proportional to 138,461.45, 191,085.81 and 77,214.56

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Solution

The fourth proportional to 138,461.45, 191,085.81 and 77,214.56 is: 106,561.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,461.45 : 191,085.81 = 77,214.56 : x
  2. Step 2: Convert to fraction form
    138,461.45/191,085.81 = 77,214.56/x
  3. Step 3: Cross multiply
    138,461.45x = 191,085.81 × 77,214.56
  4. Step 4: Simplify right side
    138,461.45x = 14,754,606,741.39
  5. Step 5: Solve for x
    x = 14,754,606,741.39/138,461.45
  6. Step 6: Final answer
    x = 106,561.12

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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.