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Finding the Fourth Proportional to 66,808.48, 91,985.88 and 56,716

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Solution

The fourth proportional to 66,808.48, 91,985.88 and 56,716 is: 78,089.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,808.48 : 91,985.88 = 56,716 : x
  2. Step 2: Convert to fraction form
    66,808.48/91,985.88 = 56,716/x
  3. Step 3: Cross multiply
    66,808.48x = 91,985.88 × 56,716
  4. Step 4: Simplify right side
    66,808.48x = 5,217,071,170.08
  5. Step 5: Solve for x
    x = 5,217,071,170.08/66,808.48
  6. Step 6: Final answer
    x = 78,089.95

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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.