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Finding the Fourth Proportional to 56,386, 77,812.68 and 31,237.12

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Solution

The fourth proportional to 56,386, 77,812.68 and 31,237.12 is: 43,107.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,386 : 77,812.68 = 31,237.12 : x
  2. Step 2: Convert to fraction form
    56,386/77,812.68 = 31,237.12/x
  3. Step 3: Cross multiply
    56,386x = 77,812.68 × 31,237.12
  4. Step 4: Simplify right side
    56,386x = 2,430,644,022.68
  5. Step 5: Solve for x
    x = 2,430,644,022.68/56,386
  6. Step 6: Final answer
    x = 43,107.23

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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.