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Finding the Fourth Proportional to 56,304, 77,699.52 and 31,157.28

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Solution

The fourth proportional to 56,304, 77,699.52 and 31,157.28 is: 42,997.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,304 : 77,699.52 = 31,157.28 : x
  2. Step 2: Convert to fraction form
    56,304/77,699.52 = 31,157.28/x
  3. Step 3: Cross multiply
    56,304x = 77,699.52 × 31,157.28
  4. Step 4: Simplify right side
    56,304x = 2,420,905,700.51
  5. Step 5: Solve for x
    x = 2,420,905,700.51/56,304
  6. Step 6: Final answer
    x = 42,997.05

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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.