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Finding the Fourth Proportional to 77,834.64, 107,425.80 and 61,038.48

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Solution

The fourth proportional to 77,834.64, 107,425.80 and 61,038.48 is: 84,244.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,834.64 : 107,425.80 = 61,038.48 : x
  2. Step 2: Convert to fraction form
    77,834.64/107,425.80 = 61,038.48/x
  3. Step 3: Cross multiply
    77,834.64x = 107,425.80 × 61,038.48
  4. Step 4: Simplify right side
    77,834.64x = 6,557,107,544.78
  5. Step 5: Solve for x
    x = 6,557,107,544.78/77,834.64
  6. Step 6: Final answer
    x = 84,244.08

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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.