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Finding the Fourth Proportional to 157,076.59, 216,766.64 and 85,457.12

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Solution

The fourth proportional to 157,076.59, 216,766.64 and 85,457.12 is: 117,931.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,076.59 : 216,766.64 = 85,457.12 : x
  2. Step 2: Convert to fraction form
    157,076.59/216,766.64 = 85,457.12/x
  3. Step 3: Cross multiply
    157,076.59x = 216,766.64 × 85,457.12
  4. Step 4: Simplify right side
    157,076.59x = 18,524,252,881.11
  5. Step 5: Solve for x
    x = 18,524,252,881.11/157,076.59
  6. Step 6: Final answer
    x = 117,931.34

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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.