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Finding the Fourth Proportional to 138,607.77, 191,277.79 and 78,178.91

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Solution

The fourth proportional to 138,607.77, 191,277.79 and 78,178.91 is: 107,886.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,607.77 : 191,277.79 = 78,178.91 : x
  2. Step 2: Convert to fraction form
    138,607.77/191,277.79 = 78,178.91/x
  3. Step 3: Cross multiply
    138,607.77x = 191,277.79 × 78,178.91
  4. Step 4: Simplify right side
    138,607.77x = 14,953,889,412.16
  5. Step 5: Solve for x
    x = 14,953,889,412.16/138,607.77
  6. Step 6: Final answer
    x = 107,886.37

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1.5x scale

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.