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Finding the Fourth Proportional to 105,223, 145,206.88 and 57,476.36

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Solution

The fourth proportional to 105,223, 145,206.88 and 57,476.36 is: 79,316.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,223 : 145,206.88 = 57,476.36 : x
  2. Step 2: Convert to fraction form
    105,223/145,206.88 = 57,476.36/x
  3. Step 3: Cross multiply
    105,223x = 145,206.88 × 57,476.36
  4. Step 4: Simplify right side
    105,223x = 8,345,962,909.36
  5. Step 5: Solve for x
    x = 8,345,962,909.36/105,223
  6. Step 6: Final answer
    x = 79,316.91

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.