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Finding the Fourth Proportional to 242,862.15, 364,323.78 and 130,387.80

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Solution

The fourth proportional to 242,862.15, 364,323.78 and 130,387.80 is: 195,598.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,862.15 : 364,323.78 = 130,387.80 : x
  2. Step 2: Convert to fraction form
    242,862.15/364,323.78 = 130,387.80/x
  3. Step 3: Cross multiply
    242,862.15x = 364,323.78 × 130,387.80
  4. Step 4: Simplify right side
    242,862.15x = 47,503,376,161.88
  5. Step 5: Solve for x
    x = 47,503,376,161.88/242,862.15
  6. Step 6: Final answer
    x = 195,598.10

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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.