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Finding the Fourth Proportional to 56,802.88, 78,389.28 and 31,653.92

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Solution

The fourth proportional to 56,802.88, 78,389.28 and 31,653.92 is: 43,683.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,802.88 : 78,389.28 = 31,653.92 : x
  2. Step 2: Convert to fraction form
    56,802.88/78,389.28 = 31,653.92/x
  3. Step 3: Cross multiply
    56,802.88x = 78,389.28 × 31,653.92
  4. Step 4: Simplify right side
    56,802.88x = 2,481,327,997.98
  5. Step 5: Solve for x
    x = 2,481,327,997.98/56,802.88
  6. Step 6: Final answer
    x = 43,683.14

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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.