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Finding the Fourth Proportional to 138,881.84, 191,653.35 and 78,458.72

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Solution

The fourth proportional to 138,881.84, 191,653.35 and 78,458.72 is: 108,271.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,881.84 : 191,653.35 = 78,458.72 : x
  2. Step 2: Convert to fraction form
    138,881.84/191,653.35 = 78,458.72/x
  3. Step 3: Cross multiply
    138,881.84x = 191,653.35 × 78,458.72
  4. Step 4: Simplify right side
    138,881.84x = 15,036,876,524.71
  5. Step 5: Solve for x
    x = 15,036,876,524.71/138,881.84
  6. Step 6: Final answer
    x = 108,271.01

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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.