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Finding the Fourth Proportional to 135,421.65, 186,866.67 and 74,977.15

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Solution

The fourth proportional to 135,421.65, 186,866.67 and 74,977.15 is: 103,460.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,421.65 : 186,866.67 = 74,977.15 : x
  2. Step 2: Convert to fraction form
    135,421.65/186,866.67 = 74,977.15/x
  3. Step 3: Cross multiply
    135,421.65x = 186,866.67 × 74,977.15
  4. Step 4: Simplify right side
    135,421.65x = 14,010,730,346.59
  5. Step 5: Solve for x
    x = 14,010,730,346.59/135,421.65
  6. Step 6: Final answer
    x = 103,460.05

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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.