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Finding the Fourth Proportional to 56,543.68, 78,030.12 and 31,393

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Solution

The fourth proportional to 56,543.68, 78,030.12 and 31,393 is: 43,322.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,543.68 : 78,030.12 = 31,393 : x
  2. Step 2: Convert to fraction form
    56,543.68/78,030.12 = 31,393/x
  3. Step 3: Cross multiply
    56,543.68x = 78,030.12 × 31,393
  4. Step 4: Simplify right side
    56,543.68x = 2,449,599,557.16
  5. Step 5: Solve for x
    x = 2,449,599,557.16/56,543.68
  6. Step 6: Final answer
    x = 43,322.25

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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.