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Finding the Fourth Proportional to 157,602.82, 217,484.31 and 85,978.57

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Solution

The fourth proportional to 157,602.82, 217,484.31 and 85,978.57 is: 118,646.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,602.82 : 217,484.31 = 85,978.57 : x
  2. Step 2: Convert to fraction form
    157,602.82/217,484.31 = 85,978.57/x
  3. Step 3: Cross multiply
    157,602.82x = 217,484.31 × 85,978.57
  4. Step 4: Simplify right side
    157,602.82x = 18,698,989,971.24
  5. Step 5: Solve for x
    x = 18,698,989,971.24/157,602.82
  6. Step 6: Final answer
    x = 118,646.29

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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.