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Finding the Fourth Proportional to 75,878.84, 113,726.10 and 53,698.72

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Solution

The fourth proportional to 75,878.84, 113,726.10 and 53,698.72 is: 80,482.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,878.84 : 113,726.10 = 53,698.72 : x
  2. Step 2: Convert to fraction form
    75,878.84/113,726.10 = 53,698.72/x
  3. Step 3: Cross multiply
    75,878.84x = 113,726.10 × 53,698.72
  4. Step 4: Simplify right side
    75,878.84x = 6,106,946,000.59
  5. Step 5: Solve for x
    x = 6,106,946,000.59/75,878.84
  6. Step 6: Final answer
    x = 80,482.86

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.