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Finding the Fourth Proportional to 78,788, 118,115.71 and 36,646.67

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Solution

The fourth proportional to 78,788, 118,115.71 and 36,646.67 is: 54,939.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,788 : 118,115.71 = 36,646.67 : x
  2. Step 2: Convert to fraction form
    78,788/118,115.71 = 36,646.67/x
  3. Step 3: Cross multiply
    78,788x = 118,115.71 × 36,646.67
  4. Step 4: Simplify right side
    78,788x = 4,328,547,446.19
  5. Step 5: Solve for x
    x = 4,328,547,446.19/78,788
  6. Step 6: Final answer
    x = 54,939.17

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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.