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Finding the Fourth Proportional to 78,700, 118,073.12 and 23,297.44

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Solution

The fourth proportional to 78,700, 118,073.12 and 23,297.44 is: 34,953.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,700 : 118,073.12 = 23,297.44 : x
  2. Step 2: Convert to fraction form
    78,700/118,073.12 = 23,297.44/x
  3. Step 3: Cross multiply
    78,700x = 118,073.12 × 23,297.44
  4. Step 4: Simplify right side
    78,700x = 2,750,801,428.81
  5. Step 5: Solve for x
    x = 2,750,801,428.81/78,700
  6. Step 6: Final answer
    x = 34,953.00

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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.