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Finding the Fourth Proportional to 156,532, 216,014.16 and 89,465.44

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Solution

The fourth proportional to 156,532, 216,014.16 and 89,465.44 is: 123,462.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,532 : 216,014.16 = 89,465.44 : x
  2. Step 2: Convert to fraction form
    156,532/216,014.16 = 89,465.44/x
  3. Step 3: Cross multiply
    156,532x = 216,014.16 × 89,465.44
  4. Step 4: Simplify right side
    156,532x = 19,325,801,870.63
  5. Step 5: Solve for x
    x = 19,325,801,870.63/156,532
  6. Step 6: Final answer
    x = 123,462.31

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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.