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Finding the Fourth Proportional to 242,145.72, 363,214.67 and 108,931.77

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Solution

The fourth proportional to 242,145.72, 363,214.67 and 108,931.77 is: 163,395.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,145.72 : 363,214.67 = 108,931.77 : x
  2. Step 2: Convert to fraction form
    242,145.72/363,214.67 = 108,931.77/x
  3. Step 3: Cross multiply
    242,145.72x = 363,214.67 × 108,931.77
  4. Step 4: Simplify right side
    242,145.72x = 39,565,616,348.41
  5. Step 5: Solve for x
    x = 39,565,616,348.41/242,145.72
  6. Step 6: Final answer
    x = 163,395.89

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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.