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Finding the Fourth Proportional to 153,019.94, 229,521 and 68,758.34

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Solution

The fourth proportional to 153,019.94, 229,521 and 68,758.34 is: 103,133.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,019.94 : 229,521 = 68,758.34 : x
  2. Step 2: Convert to fraction form
    153,019.94/229,521 = 68,758.34/x
  3. Step 3: Cross multiply
    153,019.94x = 229,521 × 68,758.34
  4. Step 4: Simplify right side
    153,019.94x = 15,781,482,955.14
  5. Step 5: Solve for x
    x = 15,781,482,955.14/153,019.94
  6. Step 6: Final answer
    x = 103,133.51

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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.