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Finding the Fourth Proportional to 57,045.32, 78,722.76 and 31,894.76

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Solution

The fourth proportional to 57,045.32, 78,722.76 and 31,894.76 is: 44,014.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,045.32 : 78,722.76 = 31,894.76 : x
  2. Step 2: Convert to fraction form
    57,045.32/78,722.76 = 31,894.76/x
  3. Step 3: Cross multiply
    57,045.32x = 78,722.76 × 31,894.76
  4. Step 4: Simplify right side
    57,045.32x = 2,510,843,536.74
  5. Step 5: Solve for x
    x = 2,510,843,536.74/57,045.32
  6. Step 6: Final answer
    x = 44,014.89

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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.