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Finding the Fourth Proportional to 80,762, 121,144.08 and 25,358

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Solution

The fourth proportional to 80,762, 121,144.08 and 25,358 is: 38,037.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,762 : 121,144.08 = 25,358 : x
  2. Step 2: Convert to fraction form
    80,762/121,144.08 = 25,358/x
  3. Step 3: Cross multiply
    80,762x = 121,144.08 × 25,358
  4. Step 4: Simplify right side
    80,762x = 3,071,971,580.64
  5. Step 5: Solve for x
    x = 3,071,971,580.64/80,762
  6. Step 6: Final answer
    x = 38,037.34

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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.