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Finding the Fourth Proportional to 78,461.60, 117,655.32 and 28,506.86

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Solution

The fourth proportional to 78,461.60, 117,655.32 and 28,506.86 is: 42,746.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,461.60 : 117,655.32 = 28,506.86 : x
  2. Step 2: Convert to fraction form
    78,461.60/117,655.32 = 28,506.86/x
  3. Step 3: Cross multiply
    78,461.60x = 117,655.32 × 28,506.86
  4. Step 4: Simplify right side
    78,461.60x = 3,353,983,735.50
  5. Step 5: Solve for x
    x = 3,353,983,735.50/78,461.60
  6. Step 6: Final answer
    x = 42,746.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.