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Finding the Fourth Proportional to 77,509.68, 106,918.17 and 48,818.10

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Solution

The fourth proportional to 77,509.68, 106,918.17 and 48,818.10 is: 67,340.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,509.68 : 106,918.17 = 48,818.10 : x
  2. Step 2: Convert to fraction form
    77,509.68/106,918.17 = 48,818.10/x
  3. Step 3: Cross multiply
    77,509.68x = 106,918.17 × 48,818.10
  4. Step 4: Simplify right side
    77,509.68x = 5,219,541,914.88
  5. Step 5: Solve for x
    x = 5,219,541,914.88/77,509.68
  6. Step 6: Final answer
    x = 67,340.52

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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.