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Finding the Fourth Proportional to 78,705.20, 118,057.80 and 70,929.20

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Solution

The fourth proportional to 78,705.20, 118,057.80 and 70,929.20 is: 106,393.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,705.20 : 118,057.80 = 70,929.20 : x
  2. Step 2: Convert to fraction form
    78,705.20/118,057.80 = 70,929.20/x
  3. Step 3: Cross multiply
    78,705.20x = 118,057.80 × 70,929.20
  4. Step 4: Simplify right side
    78,705.20x = 8,373,745,307.76
  5. Step 5: Solve for x
    x = 8,373,745,307.76/78,705.20
  6. Step 6: Final answer
    x = 106,393.80

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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.