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Finding the Fourth Proportional to 77,478.40, 106,875.16 and 48,786.81

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Solution

The fourth proportional to 77,478.40, 106,875.16 and 48,786.81 is: 67,297.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,478.40 : 106,875.16 = 48,786.81 : x
  2. Step 2: Convert to fraction form
    77,478.40/106,875.16 = 48,786.81/x
  3. Step 3: Cross multiply
    77,478.40x = 106,875.16 × 48,786.81
  4. Step 4: Simplify right side
    77,478.40x = 5,214,098,124.64
  5. Step 5: Solve for x
    x = 5,214,098,124.64/77,478.40
  6. Step 6: Final answer
    x = 67,297.44

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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.