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Finding the Fourth Proportional to 42,750, 64,130.13 and 17,806.95

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Solution

The fourth proportional to 42,750, 64,130.13 and 17,806.95 is: 26,712.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,750 : 64,130.13 = 17,806.95 : x
  2. Step 2: Convert to fraction form
    42,750/64,130.13 = 17,806.95/x
  3. Step 3: Cross multiply
    42,750x = 64,130.13 × 17,806.95
  4. Step 4: Simplify right side
    42,750x = 1,141,962,018.40
  5. Step 5: Solve for x
    x = 1,141,962,018.40/42,750
  6. Step 6: Final answer
    x = 26,712.56

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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.