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Finding the Fourth Proportional to 122,783.47, 169,464.45 and 76,864.45

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Solution

The fourth proportional to 122,783.47, 169,464.45 and 76,864.45 is: 106,087.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,783.47 : 169,464.45 = 76,864.45 : x
  2. Step 2: Convert to fraction form
    122,783.47/169,464.45 = 76,864.45/x
  3. Step 3: Cross multiply
    122,783.47x = 169,464.45 × 76,864.45
  4. Step 4: Simplify right side
    122,783.47x = 13,025,791,743.80
  5. Step 5: Solve for x
    x = 13,025,791,743.80/122,783.47
  6. Step 6: Final answer
    x = 106,087.50

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1.5x scale

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.