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Finding the Fourth Proportional to 153,638.76, 212,022.32 and 85,660

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Solution

The fourth proportional to 153,638.76, 212,022.32 and 85,660 is: 118,211.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,638.76 : 212,022.32 = 85,660 : x
  2. Step 2: Convert to fraction form
    153,638.76/212,022.32 = 85,660/x
  3. Step 3: Cross multiply
    153,638.76x = 212,022.32 × 85,660
  4. Step 4: Simplify right side
    153,638.76x = 18,161,831,931.20
  5. Step 5: Solve for x
    x = 18,161,831,931.20/153,638.76
  6. Step 6: Final answer
    x = 118,211.26

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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.