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Finding the Fourth Proportional to 42,859.62, 64,289.42 and 19,492.74

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Solution

The fourth proportional to 42,859.62, 64,289.42 and 19,492.74 is: 29,239.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,859.62 : 64,289.42 = 19,492.74 : x
  2. Step 2: Convert to fraction form
    42,859.62/64,289.42 = 19,492.74/x
  3. Step 3: Cross multiply
    42,859.62x = 64,289.42 × 19,492.74
  4. Step 4: Simplify right side
    42,859.62x = 1,253,176,948.81
  5. Step 5: Solve for x
    x = 1,253,176,948.81/42,859.62
  6. Step 6: Final answer
    x = 29,239.11

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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.