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Finding the Fourth Proportional to 108,420.90, 149,622.64 and 59,361.72

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Solution

The fourth proportional to 108,420.90, 149,622.64 and 59,361.72 is: 81,920.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,420.90 : 149,622.64 = 59,361.72 : x
  2. Step 2: Convert to fraction form
    108,420.90/149,622.64 = 59,361.72/x
  3. Step 3: Cross multiply
    108,420.90x = 149,622.64 × 59,361.72
  4. Step 4: Simplify right side
    108,420.90x = 8,881,857,261.34
  5. Step 5: Solve for x
    x = 8,881,857,261.34/108,420.90
  6. Step 6: Final answer
    x = 81,920.16

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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.