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Finding the Fourth Proportional to 56,892.58, 78,511.75 and 31,742.08

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Solution

The fourth proportional to 56,892.58, 78,511.75 and 31,742.08 is: 43,804.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,892.58 : 78,511.75 = 31,742.08 : x
  2. Step 2: Convert to fraction form
    56,892.58/78,511.75 = 31,742.08/x
  3. Step 3: Cross multiply
    56,892.58x = 78,511.75 × 31,742.08
  4. Step 4: Simplify right side
    56,892.58x = 2,492,125,973.81
  5. Step 5: Solve for x
    x = 2,492,125,973.81/56,892.58
  6. Step 6: Final answer
    x = 43,804.06

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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.