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Finding the Fourth Proportional to 31,894,998.40, 47,809,838.40 and 15,696,035.20

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Solution

The fourth proportional to 31,894,998.40, 47,809,838.40 and 15,696,035.20 is: 23,527,980.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,894,998.40 : 47,809,838.40 = 15,696,035.20 : x
  2. Step 2: Convert to fraction form
    31,894,998.40/47,809,838.40 = 15,696,035.20/x
  3. Step 3: Cross multiply
    31,894,998.40x = 47,809,838.40 × 15,696,035.20
  4. Step 4: Simplify right side
    31,894,998.40x = 750,424,906,432,711.62
  5. Step 5: Solve for x
    x = 750,424,906,432,711.62/31,894,998.40
  6. Step 6: Final answer
    x = 23,527,980.69

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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.