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Finding the Fourth Proportional to 56,363.75, 77,784.42 and 31,213.25

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Solution

The fourth proportional to 56,363.75, 77,784.42 and 31,213.25 is: 43,075.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,363.75 : 77,784.42 = 31,213.25 : x
  2. Step 2: Convert to fraction form
    56,363.75/77,784.42 = 31,213.25/x
  3. Step 3: Cross multiply
    56,363.75x = 77,784.42 × 31,213.25
  4. Step 4: Simplify right side
    56,363.75x = 2,427,904,547.57
  5. Step 5: Solve for x
    x = 2,427,904,547.57/56,363.75
  6. Step 6: Final answer
    x = 43,075.64

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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.