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Finding the Fourth Proportional to 56,074.51, 77,378.91 and 31,549.01

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Solution

The fourth proportional to 56,074.51, 77,378.91 and 31,549.01 is: 43,535.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,074.51 : 77,378.91 = 31,549.01 : x
  2. Step 2: Convert to fraction form
    56,074.51/77,378.91 = 31,549.01/x
  3. Step 3: Cross multiply
    56,074.51x = 77,378.91 × 31,549.01
  4. Step 4: Simplify right side
    56,074.51x = 2,441,228,005.38
  5. Step 5: Solve for x
    x = 2,441,228,005.38/56,074.51
  6. Step 6: Final answer
    x = 43,535.43

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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.