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Finding the Fourth Proportional to 78,354.66, 117,479.79 and 28,428.28

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Solution

The fourth proportional to 78,354.66, 117,479.79 and 28,428.28 is: 42,623.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,354.66 : 117,479.79 = 28,428.28 : x
  2. Step 2: Convert to fraction form
    78,354.66/117,479.79 = 28,428.28/x
  3. Step 3: Cross multiply
    78,354.66x = 117,479.79 × 28,428.28
  4. Step 4: Simplify right side
    78,354.66x = 3,339,748,364.46
  5. Step 5: Solve for x
    x = 3,339,748,364.46/78,354.66
  6. Step 6: Final answer
    x = 42,623.48

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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.