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Finding the Fourth Proportional to 56,290, 77,673.48 and 31,136.08

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Solution

The fourth proportional to 56,290, 77,673.48 and 31,136.08 is: 42,964.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,290 : 77,673.48 = 31,136.08 : x
  2. Step 2: Convert to fraction form
    56,290/77,673.48 = 31,136.08/x
  3. Step 3: Cross multiply
    56,290x = 77,673.48 × 31,136.08
  4. Step 4: Simplify right side
    56,290x = 2,418,447,687.16
  5. Step 5: Solve for x
    x = 2,418,447,687.16/56,290
  6. Step 6: Final answer
    x = 42,964.07

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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.