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Finding the Fourth Proportional to 157,090.68, 235,698.84 and 57,258

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Solution

The fourth proportional to 157,090.68, 235,698.84 and 57,258 is: 85,909.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,090.68 : 235,698.84 = 57,258 : x
  2. Step 2: Convert to fraction form
    157,090.68/235,698.84 = 57,258/x
  3. Step 3: Cross multiply
    157,090.68x = 235,698.84 × 57,258
  4. Step 4: Simplify right side
    157,090.68x = 13,495,644,180.72
  5. Step 5: Solve for x
    x = 13,495,644,180.72/157,090.68
  6. Step 6: Final answer
    x = 85,909.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.