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Finding the Fourth Proportional to 78,478.86, 117,792.26 and 28,607.16

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Solution

The fourth proportional to 78,478.86, 117,792.26 and 28,607.16 is: 42,937.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,478.86 : 117,792.26 = 28,607.16 : x
  2. Step 2: Convert to fraction form
    78,478.86/117,792.26 = 28,607.16/x
  3. Step 3: Cross multiply
    78,478.86x = 117,792.26 × 28,607.16
  4. Step 4: Simplify right side
    78,478.86x = 3,369,701,511.14
  5. Step 5: Solve for x
    x = 3,369,701,511.14/78,478.86
  6. Step 6: Final answer
    x = 42,937.70

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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.