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Finding the Fourth Proportional to 56,776.92, 78,417.81 and 38,840.46

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Solution

The fourth proportional to 56,776.92, 78,417.81 and 38,840.46 is: 53,644.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,776.92 : 78,417.81 = 38,840.46 : x
  2. Step 2: Convert to fraction form
    56,776.92/78,417.81 = 38,840.46/x
  3. Step 3: Cross multiply
    56,776.92x = 78,417.81 × 38,840.46
  4. Step 4: Simplify right side
    56,776.92x = 3,045,783,812.59
  5. Step 5: Solve for x
    x = 3,045,783,812.59/56,776.92
  6. Step 6: Final answer
    x = 53,644.75

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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.