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Finding the Fourth Proportional to 144,549.54, 216,786 and 65,646.21

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Solution

The fourth proportional to 144,549.54, 216,786 and 65,646.21 is: 98,451.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,549.54 : 216,786 = 65,646.21 : x
  2. Step 2: Convert to fraction form
    144,549.54/216,786 = 65,646.21/x
  3. Step 3: Cross multiply
    144,549.54x = 216,786 × 65,646.21
  4. Step 4: Simplify right side
    144,549.54x = 14,231,179,281.06
  5. Step 5: Solve for x
    x = 14,231,179,281.06/144,549.54
  6. Step 6: Final answer
    x = 98,451.92

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1.5x scale

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.