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Finding the Fourth Proportional to 135,097.61, 186,444.36 and 74,666.96

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Solution

The fourth proportional to 135,097.61, 186,444.36 and 74,666.96 is: 103,045.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,097.61 : 186,444.36 = 74,666.96 : x
  2. Step 2: Convert to fraction form
    135,097.61/186,444.36 = 74,666.96/x
  3. Step 3: Cross multiply
    135,097.61x = 186,444.36 × 74,666.96
  4. Step 4: Simplify right side
    135,097.61x = 13,921,232,498.12
  5. Step 5: Solve for x
    x = 13,921,232,498.12/135,097.61
  6. Step 6: Final answer
    x = 103,045.73

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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.