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Finding the Fourth Proportional to 77,384.95, 106,810.21 and 47,186.90

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Solution

The fourth proportional to 77,384.95, 106,810.21 and 47,186.90 is: 65,129.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,384.95 : 106,810.21 = 47,186.90 : x
  2. Step 2: Convert to fraction form
    77,384.95/106,810.21 = 47,186.90/x
  3. Step 3: Cross multiply
    77,384.95x = 106,810.21 × 47,186.90
  4. Step 4: Simplify right side
    77,384.95x = 5,040,042,623.72
  5. Step 5: Solve for x
    x = 5,040,042,623.72/77,384.95
  6. Step 6: Final answer
    x = 65,129.50

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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.