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Finding the Fourth Proportional to 135,248.82, 186,657.32 and 77,890.02

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Solution

The fourth proportional to 135,248.82, 186,657.32 and 77,890.02 is: 107,496.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,248.82 : 186,657.32 = 77,890.02 : x
  2. Step 2: Convert to fraction form
    135,248.82/186,657.32 = 77,890.02/x
  3. Step 3: Cross multiply
    135,248.82x = 186,657.32 × 77,890.02
  4. Step 4: Simplify right side
    135,248.82x = 14,538,742,387.95
  5. Step 5: Solve for x
    x = 14,538,742,387.95/135,248.82
  6. Step 6: Final answer
    x = 107,496.26

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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.