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Finding the Fourth Proportional to 157,447.60, 217,276.28 and 85,827.60

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Solution

The fourth proportional to 157,447.60, 217,276.28 and 85,827.60 is: 118,441.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,447.60 : 217,276.28 = 85,827.60 : x
  2. Step 2: Convert to fraction form
    157,447.60/217,276.28 = 85,827.60/x
  3. Step 3: Cross multiply
    157,447.60x = 217,276.28 × 85,827.60
  4. Step 4: Simplify right side
    157,447.60x = 18,648,301,649.33
  5. Step 5: Solve for x
    x = 18,648,301,649.33/157,447.60
  6. Step 6: Final answer
    x = 118,441.32

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1.5x scale

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.