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Finding the Fourth Proportional to 85,641.64, 118,188.66 and 47,916.16

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Solution

The fourth proportional to 85,641.64, 118,188.66 and 47,916.16 is: 66,126.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,641.64 : 118,188.66 = 47,916.16 : x
  2. Step 2: Convert to fraction form
    85,641.64/118,188.66 = 47,916.16/x
  3. Step 3: Cross multiply
    85,641.64x = 118,188.66 × 47,916.16
  4. Step 4: Simplify right side
    85,641.64x = 5,663,146,742.75
  5. Step 5: Solve for x
    x = 5,663,146,742.75/85,641.64
  6. Step 6: Final answer
    x = 66,126.09

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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.