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Finding the Fourth Proportional to 56,980.30, 78,637.41 and 31,488.91

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Solution

The fourth proportional to 56,980.30, 78,637.41 and 31,488.91 is: 43,457.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,980.30 : 78,637.41 = 31,488.91 : x
  2. Step 2: Convert to fraction form
    56,980.30/78,637.41 = 31,488.91/x
  3. Step 3: Cross multiply
    56,980.30x = 78,637.41 × 31,488.91
  4. Step 4: Simplify right side
    56,980.30x = 2,476,206,326.12
  5. Step 5: Solve for x
    x = 2,476,206,326.12/56,980.30
  6. Step 6: Final answer
    x = 43,457.24

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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.