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Finding the Fourth Proportional to 56,810.88, 78,393.72 and 31,312.80

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Solution

The fourth proportional to 56,810.88, 78,393.72 and 31,312.80 is: 43,208.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,810.88 : 78,393.72 = 31,312.80 : x
  2. Step 2: Convert to fraction form
    56,810.88/78,393.72 = 31,312.80/x
  3. Step 3: Cross multiply
    56,810.88x = 78,393.72 × 31,312.80
  4. Step 4: Simplify right side
    56,810.88x = 2,454,726,875.62
  5. Step 5: Solve for x
    x = 2,454,726,875.62/56,810.88
  6. Step 6: Final answer
    x = 43,208.75

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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.