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Finding the Fourth Proportional to 77,384.32, 116,076.48 and 21,973.12

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Solution

The fourth proportional to 77,384.32, 116,076.48 and 21,973.12 is: 32,959.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,384.32 : 116,076.48 = 21,973.12 : x
  2. Step 2: Convert to fraction form
    77,384.32/116,076.48 = 21,973.12/x
  3. Step 3: Cross multiply
    77,384.32x = 116,076.48 × 21,973.12
  4. Step 4: Simplify right side
    77,384.32x = 2,550,562,424.22
  5. Step 5: Solve for x
    x = 2,550,562,424.22/77,384.32
  6. Step 6: Final answer
    x = 32,959.68

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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.