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Finding the Fourth Proportional to 85,901.32, 118,549.74 and 48,178

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Solution

The fourth proportional to 85,901.32, 118,549.74 and 48,178 is: 66,488.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,901.32 : 118,549.74 = 48,178 : x
  2. Step 2: Convert to fraction form
    85,901.32/118,549.74 = 48,178/x
  3. Step 3: Cross multiply
    85,901.32x = 118,549.74 × 48,178
  4. Step 4: Simplify right side
    85,901.32x = 5,711,489,373.72
  5. Step 5: Solve for x
    x = 5,711,489,373.72/85,901.32
  6. Step 6: Final answer
    x = 66,488.96

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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.