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Finding the Fourth Proportional to 51,640.40, 77,345.40 and 42,424.40

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Solution

The fourth proportional to 51,640.40, 77,345.40 and 42,424.40 is: 63,541.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,640.40 : 77,345.40 = 42,424.40 : x
  2. Step 2: Convert to fraction form
    51,640.40/77,345.40 = 42,424.40/x
  3. Step 3: Cross multiply
    51,640.40x = 77,345.40 × 42,424.40
  4. Step 4: Simplify right side
    51,640.40x = 3,281,332,187.76
  5. Step 5: Solve for x
    x = 3,281,332,187.76/51,640.40
  6. Step 6: Final answer
    x = 63,541.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.