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Finding the Fourth Proportional to 56,357.04, 77,772.78 and 31,206

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Solution

The fourth proportional to 56,357.04, 77,772.78 and 31,206 is: 43,064.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,357.04 : 77,772.78 = 31,206 : x
  2. Step 2: Convert to fraction form
    56,357.04/77,772.78 = 31,206/x
  3. Step 3: Cross multiply
    56,357.04x = 77,772.78 × 31,206
  4. Step 4: Simplify right side
    56,357.04x = 2,426,977,372.68
  5. Step 5: Solve for x
    x = 2,426,977,372.68/56,357.04
  6. Step 6: Final answer
    x = 43,064.32

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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.