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Finding the Fourth Proportional to 144,329.40, 216,218.70 and 77,747.40

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Solution

The fourth proportional to 144,329.40, 216,218.70 and 77,747.40 is: 116,472.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,329.40 : 216,218.70 = 77,747.40 : x
  2. Step 2: Convert to fraction form
    144,329.40/216,218.70 = 77,747.40/x
  3. Step 3: Cross multiply
    144,329.40x = 216,218.70 × 77,747.40
  4. Step 4: Simplify right side
    144,329.40x = 16,810,441,756.38
  5. Step 5: Solve for x
    x = 16,810,441,756.38/144,329.40
  6. Step 6: Final answer
    x = 116,472.75

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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.