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Finding the Fourth Proportional to 114,312.30, 171,468.45 and 72,321.90

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Solution

The fourth proportional to 114,312.30, 171,468.45 and 72,321.90 is: 108,482.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,312.30 : 171,468.45 = 72,321.90 : x
  2. Step 2: Convert to fraction form
    114,312.30/171,468.45 = 72,321.90/x
  3. Step 3: Cross multiply
    114,312.30x = 171,468.45 × 72,321.90
  4. Step 4: Simplify right side
    114,312.30x = 12,400,924,094.06
  5. Step 5: Solve for x
    x = 12,400,924,094.06/114,312.30
  6. Step 6: Final answer
    x = 108,482.85

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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.