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Finding the Fourth Proportional to 77,384.61, 106,796.27 and 42,940.62

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Solution

The fourth proportional to 77,384.61, 106,796.27 and 42,940.62 is: 59,261.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,384.61 : 106,796.27 = 42,940.62 : x
  2. Step 2: Convert to fraction form
    77,384.61/106,796.27 = 42,940.62/x
  3. Step 3: Cross multiply
    77,384.61x = 106,796.27 × 42,940.62
  4. Step 4: Simplify right side
    77,384.61x = 4,585,898,154.84
  5. Step 5: Solve for x
    x = 4,585,898,154.84/77,384.61
  6. Step 6: Final answer
    x = 59,261.11

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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.