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Finding the Fourth Proportional to 78,315.64, 108,076.62 and 42,506.08

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Solution

The fourth proportional to 78,315.64, 108,076.62 and 42,506.08 is: 58,658.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,315.64 : 108,076.62 = 42,506.08 : x
  2. Step 2: Convert to fraction form
    78,315.64/108,076.62 = 42,506.08/x
  3. Step 3: Cross multiply
    78,315.64x = 108,076.62 × 42,506.08
  4. Step 4: Simplify right side
    78,315.64x = 4,593,913,455.85
  5. Step 5: Solve for x
    x = 4,593,913,455.85/78,315.64
  6. Step 6: Final answer
    x = 58,658.95

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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.