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Finding the Fourth Proportional to 70,072.47, 105,046.19 and 25,688.86

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Solution

The fourth proportional to 70,072.47, 105,046.19 and 25,688.86 is: 38,510.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,072.47 : 105,046.19 = 25,688.86 : x
  2. Step 2: Convert to fraction form
    70,072.47/105,046.19 = 25,688.86/x
  3. Step 3: Cross multiply
    70,072.47x = 105,046.19 × 25,688.86
  4. Step 4: Simplify right side
    70,072.47x = 2,698,516,214.77
  5. Step 5: Solve for x
    x = 2,698,516,214.77/70,072.47
  6. Step 6: Final answer
    x = 38,510.37

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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.