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Finding the Fourth Proportional to 78,742.40, 118,051.20 and 39,279.20

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Solution

The fourth proportional to 78,742.40, 118,051.20 and 39,279.20 is: 58,887.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,742.40 : 118,051.20 = 39,279.20 : x
  2. Step 2: Convert to fraction form
    78,742.40/118,051.20 = 39,279.20/x
  3. Step 3: Cross multiply
    78,742.40x = 118,051.20 × 39,279.20
  4. Step 4: Simplify right side
    78,742.40x = 4,636,956,695.04
  5. Step 5: Solve for x
    x = 4,636,956,695.04/78,742.40
  6. Step 6: Final answer
    x = 58,887.67

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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.