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Finding the Fourth Proportional to 138,458.40, 191,073.36 and 78,030

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Solution

The fourth proportional to 138,458.40, 191,073.36 and 78,030 is: 107,681.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,458.40 : 191,073.36 = 78,030 : x
  2. Step 2: Convert to fraction form
    138,458.40/191,073.36 = 78,030/x
  3. Step 3: Cross multiply
    138,458.40x = 191,073.36 × 78,030
  4. Step 4: Simplify right side
    138,458.40x = 14,909,454,280.80
  5. Step 5: Solve for x
    x = 14,909,454,280.80/138,458.40
  6. Step 6: Final answer
    x = 107,681.83

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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.