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Finding the Fourth Proportional to 85,680, 118,242.72 and 52,148.16

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Solution

The fourth proportional to 85,680, 118,242.72 and 52,148.16 is: 71,967.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,680 : 118,242.72 = 52,148.16 : x
  2. Step 2: Convert to fraction form
    85,680/118,242.72 = 52,148.16/x
  3. Step 3: Cross multiply
    85,680x = 118,242.72 × 52,148.16
  4. Step 4: Simplify right side
    85,680x = 6,166,140,281.40
  5. Step 5: Solve for x
    x = 6,166,140,281.40/85,680
  6. Step 6: Final answer
    x = 71,967.09

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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.