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Finding the Fourth Proportional to 77,009.84, 115,529.16 and 24,405.20

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Solution

The fourth proportional to 77,009.84, 115,529.16 and 24,405.20 is: 36,612.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,009.84 : 115,529.16 = 24,405.20 : x
  2. Step 2: Convert to fraction form
    77,009.84/115,529.16 = 24,405.20/x
  3. Step 3: Cross multiply
    77,009.84x = 115,529.16 × 24,405.20
  4. Step 4: Simplify right side
    77,009.84x = 2,819,512,255.63
  5. Step 5: Solve for x
    x = 2,819,512,255.63/77,009.84
  6. Step 6: Final answer
    x = 36,612.36

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1.5x scale

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.