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Finding the Fourth Proportional to 56,304, 77,692.80 and 31,150.08

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Solution

The fourth proportional to 56,304, 77,692.80 and 31,150.08 is: 42,983.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,304 : 77,692.80 = 31,150.08 : x
  2. Step 2: Convert to fraction form
    56,304/77,692.80 = 31,150.08/x
  3. Step 3: Cross multiply
    56,304x = 77,692.80 × 31,150.08
  4. Step 4: Simplify right side
    56,304x = 2,420,136,935.42
  5. Step 5: Solve for x
    x = 2,420,136,935.42/56,304
  6. Step 6: Final answer
    x = 42,983.39

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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.