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Finding the Fourth Proportional to 52,803.88, 72,858.01 and 31,300.40

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Solution

The fourth proportional to 52,803.88, 72,858.01 and 31,300.40 is: 43,187.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,803.88 : 72,858.01 = 31,300.40 : x
  2. Step 2: Convert to fraction form
    52,803.88/72,858.01 = 31,300.40/x
  3. Step 3: Cross multiply
    52,803.88x = 72,858.01 × 31,300.40
  4. Step 4: Simplify right side
    52,803.88x = 2,280,484,699.70
  5. Step 5: Solve for x
    x = 2,280,484,699.70/52,803.88
  6. Step 6: Final answer
    x = 43,187.83

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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.