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Finding the Fourth Proportional to 102,678.90, 154,073.49 and 42,748.75

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Solution

The fourth proportional to 102,678.90, 154,073.49 and 42,748.75 is: 64,146.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,678.90 : 154,073.49 = 42,748.75 : x
  2. Step 2: Convert to fraction form
    102,678.90/154,073.49 = 42,748.75/x
  3. Step 3: Cross multiply
    102,678.90x = 154,073.49 × 42,748.75
  4. Step 4: Simplify right side
    102,678.90x = 6,586,448,880.76
  5. Step 5: Solve for x
    x = 6,586,448,880.76/102,678.90
  6. Step 6: Final answer
    x = 64,146.08

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1.5x scale

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.