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Finding the Fourth Proportional to 136,089, 187,803.78 and 76,473

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Solution

The fourth proportional to 136,089, 187,803.78 and 76,473 is: 105,533.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,089 : 187,803.78 = 76,473 : x
  2. Step 2: Convert to fraction form
    136,089/187,803.78 = 76,473/x
  3. Step 3: Cross multiply
    136,089x = 187,803.78 × 76,473
  4. Step 4: Simplify right side
    136,089x = 14,361,918,467.94
  5. Step 5: Solve for x
    x = 14,361,918,467.94/136,089
  6. Step 6: Final answer
    x = 105,533.28

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.