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Finding the Fourth Proportional to 56,674.72, 78,214 and 32,802.40

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Solution

The fourth proportional to 56,674.72, 78,214 and 32,802.40 is: 45,268.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,674.72 : 78,214 = 32,802.40 : x
  2. Step 2: Convert to fraction form
    56,674.72/78,214 = 32,802.40/x
  3. Step 3: Cross multiply
    56,674.72x = 78,214 × 32,802.40
  4. Step 4: Simplify right side
    56,674.72x = 2,565,606,913.60
  5. Step 5: Solve for x
    x = 2,565,606,913.60/56,674.72
  6. Step 6: Final answer
    x = 45,268.98

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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.