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Finding the Fourth Proportional to 254,706.98, 382,038.45 and 86,223.71

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Solution

The fourth proportional to 254,706.98, 382,038.45 and 86,223.71 is: 129,328.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,706.98 : 382,038.45 = 86,223.71 : x
  2. Step 2: Convert to fraction form
    254,706.98/382,038.45 = 86,223.71/x
  3. Step 3: Cross multiply
    254,706.98x = 382,038.45 × 86,223.71
  4. Step 4: Simplify right side
    254,706.98x = 32,940,772,521.65
  5. Step 5: Solve for x
    x = 32,940,772,521.65/254,706.98
  6. Step 6: Final answer
    x = 129,328.11

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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.