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Finding the Fourth Proportional to 77,864.78, 107,221.56 and 72,213.12

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Solution

The fourth proportional to 77,864.78, 107,221.56 and 72,213.12 is: 99,439.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,864.78 : 107,221.56 = 72,213.12 : x
  2. Step 2: Convert to fraction form
    77,864.78/107,221.56 = 72,213.12/x
  3. Step 3: Cross multiply
    77,864.78x = 107,221.56 × 72,213.12
  4. Step 4: Simplify right side
    77,864.78x = 7,742,803,378.87
  5. Step 5: Solve for x
    x = 7,742,803,378.87/77,864.78
  6. Step 6: Final answer
    x = 99,439.10

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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.