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Finding the Fourth Proportional to 78,466.44, 117,697.48 and 28,547.45

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Solution

The fourth proportional to 78,466.44, 117,697.48 and 28,547.45 is: 42,820.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,466.44 : 117,697.48 = 28,547.45 : x
  2. Step 2: Convert to fraction form
    78,466.44/117,697.48 = 28,547.45/x
  3. Step 3: Cross multiply
    78,466.44x = 117,697.48 × 28,547.45
  4. Step 4: Simplify right side
    78,466.44x = 3,359,963,148.30
  5. Step 5: Solve for x
    x = 3,359,963,148.30/78,466.44
  6. Step 6: Final answer
    x = 42,820.38

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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.