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Finding the Fourth Proportional to 138,886.94, 191,663.08 and 78,477.14

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Solution

The fourth proportional to 138,886.94, 191,663.08 and 78,477.14 is: 108,297.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,886.94 : 191,663.08 = 78,477.14 : x
  2. Step 2: Convert to fraction form
    138,886.94/191,663.08 = 78,477.14/x
  3. Step 3: Cross multiply
    138,886.94x = 191,663.08 × 78,477.14
  4. Step 4: Simplify right side
    138,886.94x = 15,041,169,207.48
  5. Step 5: Solve for x
    x = 15,041,169,207.48/138,886.94
  6. Step 6: Final answer
    x = 108,297.94

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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.