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Finding the Fourth Proportional to 81,776.84, 112,835.47 and 47,778.76

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Solution

The fourth proportional to 81,776.84, 112,835.47 and 47,778.76 is: 65,925.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,776.84 : 112,835.47 = 47,778.76 : x
  2. Step 2: Convert to fraction form
    81,776.84/112,835.47 = 47,778.76/x
  3. Step 3: Cross multiply
    81,776.84x = 112,835.47 × 47,778.76
  4. Step 4: Simplify right side
    81,776.84x = 5,391,138,558.53
  5. Step 5: Solve for x
    x = 5,391,138,558.53/81,776.84
  6. Step 6: Final answer
    x = 65,925.01

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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.