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Finding the Fourth Proportional to 144,257.68, 216,386.52 and 45,754

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Solution

The fourth proportional to 144,257.68, 216,386.52 and 45,754 is: 68,631

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,257.68 : 216,386.52 = 45,754 : x
  2. Step 2: Convert to fraction form
    144,257.68/216,386.52 = 45,754/x
  3. Step 3: Cross multiply
    144,257.68x = 216,386.52 × 45,754
  4. Step 4: Simplify right side
    144,257.68x = 9,900,548,836.08
  5. Step 5: Solve for x
    x = 9,900,548,836.08/144,257.68
  6. Step 6: Final answer
    x = 68,631

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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.