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Finding the Fourth Proportional to 54,948.30, 75,830.10 and 31,078.50

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Solution

The fourth proportional to 54,948.30, 75,830.10 and 31,078.50 is: 42,889.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,948.30 : 75,830.10 = 31,078.50 : x
  2. Step 2: Convert to fraction form
    54,948.30/75,830.10 = 31,078.50/x
  3. Step 3: Cross multiply
    54,948.30x = 75,830.10 × 31,078.50
  4. Step 4: Simplify right side
    54,948.30x = 2,356,685,762.85
  5. Step 5: Solve for x
    x = 2,356,685,762.85/54,948.30
  6. Step 6: Final answer
    x = 42,889.15

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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.