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Finding the Fourth Proportional to 56,894.19, 78,488.56 and 34,219.86

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Solution

The fourth proportional to 56,894.19, 78,488.56 and 34,219.86 is: 47,208.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,894.19 : 78,488.56 = 34,219.86 : x
  2. Step 2: Convert to fraction form
    56,894.19/78,488.56 = 34,219.86/x
  3. Step 3: Cross multiply
    56,894.19x = 78,488.56 × 34,219.86
  4. Step 4: Simplify right side
    56,894.19x = 2,685,867,534.80
  5. Step 5: Solve for x
    x = 2,685,867,534.80/56,894.19
  6. Step 6: Final answer
    x = 47,208.12

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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.