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Finding the Fourth Proportional to 156,041.70, 234,062.55 and 77,309.70

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Solution

The fourth proportional to 156,041.70, 234,062.55 and 77,309.70 is: 115,964.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,041.70 : 234,062.55 = 77,309.70 : x
  2. Step 2: Convert to fraction form
    156,041.70/234,062.55 = 77,309.70/x
  3. Step 3: Cross multiply
    156,041.70x = 234,062.55 × 77,309.70
  4. Step 4: Simplify right side
    156,041.70x = 18,095,305,521.74
  5. Step 5: Solve for x
    x = 18,095,305,521.74/156,041.70
  6. Step 6: Final answer
    x = 115,964.55

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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.