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Finding the Fourth Proportional to 209,851.42, 314,838.66 and 67,693.84

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Solution

The fourth proportional to 209,851.42, 314,838.66 and 67,693.84 is: 101,560.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,851.42 : 314,838.66 = 67,693.84 : x
  2. Step 2: Convert to fraction form
    209,851.42/314,838.66 = 67,693.84/x
  3. Step 3: Cross multiply
    209,851.42x = 314,838.66 × 67,693.84
  4. Step 4: Simplify right side
    209,851.42x = 21,312,637,875.85
  5. Step 5: Solve for x
    x = 21,312,637,875.85/209,851.42
  6. Step 6: Final answer
    x = 101,560.61

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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.