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Finding the Fourth Proportional to 56,506.50, 77,978.90 and 31,013.02

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Solution

The fourth proportional to 56,506.50, 77,978.90 and 31,013.02 is: 42,797.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,506.50 : 77,978.90 = 31,013.02 : x
  2. Step 2: Convert to fraction form
    56,506.50/77,978.90 = 31,013.02/x
  3. Step 3: Cross multiply
    56,506.50x = 77,978.90 × 31,013.02
  4. Step 4: Simplify right side
    56,506.50x = 2,418,361,185.28
  5. Step 5: Solve for x
    x = 2,418,361,185.28/56,506.50
  6. Step 6: Final answer
    x = 42,797.93

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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.