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Finding the Fourth Proportional to 56,550, 78,041.16 and 31,398.96

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Solution

The fourth proportional to 56,550, 78,041.16 and 31,398.96 is: 43,331.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,550 : 78,041.16 = 31,398.96 : x
  2. Step 2: Convert to fraction form
    56,550/78,041.16 = 31,398.96/x
  3. Step 3: Cross multiply
    56,550x = 78,041.16 × 31,398.96
  4. Step 4: Simplify right side
    56,550x = 2,450,411,261.19
  5. Step 5: Solve for x
    x = 2,450,411,261.19/56,550
  6. Step 6: Final answer
    x = 43,331.76

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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.