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Finding the Fourth Proportional to 56,407.90, 77,842.74 and 31,257.40

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Solution

The fourth proportional to 56,407.90, 77,842.74 and 31,257.40 is: 43,135.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,407.90 : 77,842.74 = 31,257.40 : x
  2. Step 2: Convert to fraction form
    56,407.90/77,842.74 = 31,257.40/x
  3. Step 3: Cross multiply
    56,407.90x = 77,842.74 × 31,257.40
  4. Step 4: Simplify right side
    56,407.90x = 2,433,161,661.28
  5. Step 5: Solve for x
    x = 2,433,161,661.28/56,407.90
  6. Step 6: Final answer
    x = 43,135.12

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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.