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Finding the Fourth Proportional to 56,506.59, 77,979.56 and 31,356.51

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Solution

The fourth proportional to 56,506.59, 77,979.56 and 31,356.51 is: 43,272.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,506.59 : 77,979.56 = 31,356.51 : x
  2. Step 2: Convert to fraction form
    56,506.59/77,979.56 = 31,356.51/x
  3. Step 3: Cross multiply
    56,506.59x = 77,979.56 × 31,356.51
  4. Step 4: Simplify right side
    56,506.59x = 2,445,166,696.15
  5. Step 5: Solve for x
    x = 2,445,166,696.15/56,506.59
  6. Step 6: Final answer
    x = 43,272.24

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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.