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Finding the Fourth Proportional to 102,698.42, 153,981.68 and 42,768.44

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Solution

The fourth proportional to 102,698.42, 153,981.68 and 42,768.44 is: 64,125.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,698.42 : 153,981.68 = 42,768.44 : x
  2. Step 2: Convert to fraction form
    102,698.42/153,981.68 = 42,768.44/x
  3. Step 3: Cross multiply
    102,698.42x = 153,981.68 × 42,768.44
  4. Step 4: Simplify right side
    102,698.42x = 6,585,556,242.18
  5. Step 5: Solve for x
    x = 6,585,556,242.18/102,698.42
  6. Step 6: Final answer
    x = 64,125.20

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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.