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Finding the Fourth Proportional to 42,731.84, 64,103.84 and 13,152.14

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Solution

The fourth proportional to 42,731.84, 64,103.84 and 13,152.14 is: 19,730.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,731.84 : 64,103.84 = 13,152.14 : x
  2. Step 2: Convert to fraction form
    42,731.84/64,103.84 = 13,152.14/x
  3. Step 3: Cross multiply
    42,731.84x = 64,103.84 × 13,152.14
  4. Step 4: Simplify right side
    42,731.84x = 843,102,717.25
  5. Step 5: Solve for x
    x = 843,102,717.25/42,731.84
  6. Step 6: Final answer
    x = 19,730.08

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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.