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Finding the Fourth Proportional to 78,526.72, 117,809.52 and 36,964

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Solution

The fourth proportional to 78,526.72, 117,809.52 and 36,964 is: 55,455.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,526.72 : 117,809.52 = 36,964 : x
  2. Step 2: Convert to fraction form
    78,526.72/117,809.52 = 36,964/x
  3. Step 3: Cross multiply
    78,526.72x = 117,809.52 × 36,964
  4. Step 4: Simplify right side
    78,526.72x = 4,354,711,097.28
  5. Step 5: Solve for x
    x = 4,354,711,097.28/78,526.72
  6. Step 6: Final answer
    x = 55,455.15

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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.