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Finding the Fourth Proportional to 56,532.64, 78,014.64 and 31,382.08

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Solution

The fourth proportional to 56,532.64, 78,014.64 and 31,382.08 is: 43,307.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,532.64 : 78,014.64 = 31,382.08 : x
  2. Step 2: Convert to fraction form
    56,532.64/78,014.64 = 31,382.08/x
  3. Step 3: Cross multiply
    56,532.64x = 78,014.64 × 31,382.08
  4. Step 4: Simplify right side
    56,532.64x = 2,448,261,673.65
  5. Step 5: Solve for x
    x = 2,448,261,673.65/56,532.64
  6. Step 6: Final answer
    x = 43,307.05

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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.