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Finding the Fourth Proportional to 147,618.84, 221,465.34 and 42,438

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Solution

The fourth proportional to 147,618.84, 221,465.34 and 42,438 is: 63,667.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,618.84 : 221,465.34 = 42,438 : x
  2. Step 2: Convert to fraction form
    147,618.84/221,465.34 = 42,438/x
  3. Step 3: Cross multiply
    147,618.84x = 221,465.34 × 42,438
  4. Step 4: Simplify right side
    147,618.84x = 9,398,546,098.92
  5. Step 5: Solve for x
    x = 9,398,546,098.92/147,618.84
  6. Step 6: Final answer
    x = 63,667.66

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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.