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Finding the Fourth Proportional to 156,643.20, 234,964.80 and 51,436.80

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Solution

The fourth proportional to 156,643.20, 234,964.80 and 51,436.80 is: 77,155.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,643.20 : 234,964.80 = 51,436.80 : x
  2. Step 2: Convert to fraction form
    156,643.20/234,964.80 = 51,436.80/x
  3. Step 3: Cross multiply
    156,643.20x = 234,964.80 × 51,436.80
  4. Step 4: Simplify right side
    156,643.20x = 12,085,837,424.64
  5. Step 5: Solve for x
    x = 12,085,837,424.64/156,643.20
  6. Step 6: Final answer
    x = 77,155.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.