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Finding the Fourth Proportional to 156,411.40, 215,848.02 and 84,791.20

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Solution

The fourth proportional to 156,411.40, 215,848.02 and 84,791.20 is: 117,012.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,411.40 : 215,848.02 = 84,791.20 : x
  2. Step 2: Convert to fraction form
    156,411.40/215,848.02 = 84,791.20/x
  3. Step 3: Cross multiply
    156,411.40x = 215,848.02 × 84,791.20
  4. Step 4: Simplify right side
    156,411.40x = 18,302,012,633.42
  5. Step 5: Solve for x
    x = 18,302,012,633.42/156,411.40
  6. Step 6: Final answer
    x = 117,012.01

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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.