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Finding the Fourth Proportional to 102,315.90, 153,801.90 and 72,937.20

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Solution

The fourth proportional to 102,315.90, 153,801.90 and 72,937.20 is: 109,639.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,315.90 : 153,801.90 = 72,937.20 : x
  2. Step 2: Convert to fraction form
    102,315.90/153,801.90 = 72,937.20/x
  3. Step 3: Cross multiply
    102,315.90x = 153,801.90 × 72,937.20
  4. Step 4: Simplify right side
    102,315.90x = 11,217,879,940.68
  5. Step 5: Solve for x
    x = 11,217,879,940.68/102,315.90
  6. Step 6: Final answer
    x = 109,639.65

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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.