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Finding the Fourth Proportional to 56,579.16, 78,079.28 and 31,087.16

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Solution

The fourth proportional to 56,579.16, 78,079.28 and 31,087.16 is: 42,900.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,579.16 : 78,079.28 = 31,087.16 : x
  2. Step 2: Convert to fraction form
    56,579.16/78,079.28 = 31,087.16/x
  3. Step 3: Cross multiply
    56,579.16x = 78,079.28 × 31,087.16
  4. Step 4: Simplify right side
    56,579.16x = 2,427,263,070.04
  5. Step 5: Solve for x
    x = 2,427,263,070.04/56,579.16
  6. Step 6: Final answer
    x = 42,900.30

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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.