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Finding the Fourth Proportional to 78,622.90, 117,933.78 and 47,041.72

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Solution

The fourth proportional to 78,622.90, 117,933.78 and 47,041.72 is: 70,562.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,622.90 : 117,933.78 = 47,041.72 : x
  2. Step 2: Convert to fraction form
    78,622.90/117,933.78 = 47,041.72/x
  3. Step 3: Cross multiply
    78,622.90x = 117,933.78 × 47,041.72
  4. Step 4: Simplify right side
    78,622.90x = 5,547,807,857.30
  5. Step 5: Solve for x
    x = 5,547,807,857.30/78,622.90
  6. Step 6: Final answer
    x = 70,562.24

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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.