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Finding the Fourth Proportional to 56,345, 77,756.64 and 31,195.04

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Solution

The fourth proportional to 56,345, 77,756.64 and 31,195.04 is: 43,049.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,345 : 77,756.64 = 31,195.04 : x
  2. Step 2: Convert to fraction form
    56,345/77,756.64 = 31,195.04/x
  3. Step 3: Cross multiply
    56,345x = 77,756.64 × 31,195.04
  4. Step 4: Simplify right side
    56,345x = 2,425,621,495.07
  5. Step 5: Solve for x
    x = 2,425,621,495.07/56,345
  6. Step 6: Final answer
    x = 43,049.45

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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.