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Finding the Fourth Proportional to 97,248.87, 134,216.60 and 56,978.71

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Solution

The fourth proportional to 97,248.87, 134,216.60 and 56,978.71 is: 78,638.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,248.87 : 134,216.60 = 56,978.71 : x
  2. Step 2: Convert to fraction form
    97,248.87/134,216.60 = 56,978.71/x
  3. Step 3: Cross multiply
    97,248.87x = 134,216.60 × 56,978.71
  4. Step 4: Simplify right side
    97,248.87x = 7,647,488,108.15
  5. Step 5: Solve for x
    x = 7,647,488,108.15/97,248.87
  6. Step 6: Final answer
    x = 78,638.32

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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.