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Finding the Fourth Proportional to 156,878.48, 216,492.21 and 85,258.52

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Solution

The fourth proportional to 156,878.48, 216,492.21 and 85,258.52 is: 117,656.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,878.48 : 216,492.21 = 85,258.52 : x
  2. Step 2: Convert to fraction form
    156,878.48/216,492.21 = 85,258.52/x
  3. Step 3: Cross multiply
    156,878.48x = 216,492.21 × 85,258.52
  4. Step 4: Simplify right side
    156,878.48x = 18,457,805,416.13
  5. Step 5: Solve for x
    x = 18,457,805,416.13/156,878.48
  6. Step 6: Final answer
    x = 117,656.71

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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.