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Finding the Fourth Proportional to 61,145.28, 84,384 and 34,296.40

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Solution

The fourth proportional to 61,145.28, 84,384 and 34,296.40 is: 47,331.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,145.28 : 84,384 = 34,296.40 : x
  2. Step 2: Convert to fraction form
    61,145.28/84,384 = 34,296.40/x
  3. Step 3: Cross multiply
    61,145.28x = 84,384 × 34,296.40
  4. Step 4: Simplify right side
    61,145.28x = 2,894,067,417.60
  5. Step 5: Solve for x
    x = 2,894,067,417.60/61,145.28
  6. Step 6: Final answer
    x = 47,331.00

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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.