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Finding the Fourth Proportional to 67,428, 101,146.86 and 25,875

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Solution

The fourth proportional to 67,428, 101,146.86 and 25,875 is: 38,814.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,428 : 101,146.86 = 25,875 : x
  2. Step 2: Convert to fraction form
    67,428/101,146.86 = 25,875/x
  3. Step 3: Cross multiply
    67,428x = 101,146.86 × 25,875
  4. Step 4: Simplify right side
    67,428x = 2,617,175,002.50
  5. Step 5: Solve for x
    x = 2,617,175,002.50/67,428
  6. Step 6: Final answer
    x = 38,814.36

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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.