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Finding the Fourth Proportional to 77,019.40, 115,529.10 and 72,645.40

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Solution

The fourth proportional to 77,019.40, 115,529.10 and 72,645.40 is: 108,968.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,019.40 : 115,529.10 = 72,645.40 : x
  2. Step 2: Convert to fraction form
    77,019.40/115,529.10 = 72,645.40/x
  3. Step 3: Cross multiply
    77,019.40x = 115,529.10 × 72,645.40
  4. Step 4: Simplify right side
    77,019.40x = 8,392,657,681.14
  5. Step 5: Solve for x
    x = 8,392,657,681.14/77,019.40
  6. Step 6: Final answer
    x = 108,968.10

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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.