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Finding the Fourth Proportional to 56,392.36, 77,815.46 and 31,239.40

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Solution

The fourth proportional to 56,392.36, 77,815.46 and 31,239.40 is: 43,107.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,392.36 : 77,815.46 = 31,239.40 : x
  2. Step 2: Convert to fraction form
    56,392.36/77,815.46 = 31,239.40/x
  3. Step 3: Cross multiply
    56,392.36x = 77,815.46 × 31,239.40
  4. Step 4: Simplify right side
    56,392.36x = 2,430,908,281.12
  5. Step 5: Solve for x
    x = 2,430,908,281.12/56,392.36
  6. Step 6: Final answer
    x = 43,107.05

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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.