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Finding the Fourth Proportional to 77,424.40, 106,847.76 and 45,587.44

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Solution

The fourth proportional to 77,424.40, 106,847.76 and 45,587.44 is: 62,911.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,424.40 : 106,847.76 = 45,587.44 : x
  2. Step 2: Convert to fraction form
    77,424.40/106,847.76 = 45,587.44/x
  3. Step 3: Cross multiply
    77,424.40x = 106,847.76 × 45,587.44
  4. Step 4: Simplify right side
    77,424.40x = 4,870,915,848.13
  5. Step 5: Solve for x
    x = 4,870,915,848.13/77,424.40
  6. Step 6: Final answer
    x = 62,911.90

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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.