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Finding the Fourth Proportional to 78,894, 118,399.32 and 37,341

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Solution

The fourth proportional to 78,894, 118,399.32 and 37,341 is: 56,039.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,894 : 118,399.32 = 37,341 : x
  2. Step 2: Convert to fraction form
    78,894/118,399.32 = 37,341/x
  3. Step 3: Cross multiply
    78,894x = 118,399.32 × 37,341
  4. Step 4: Simplify right side
    78,894x = 4,421,149,008.12
  5. Step 5: Solve for x
    x = 4,421,149,008.12/78,894
  6. Step 6: Final answer
    x = 56,039.10

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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.