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Finding the Fourth Proportional to 97,780.50, 134,937.10 and 53,068.50

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Solution

The fourth proportional to 97,780.50, 134,937.10 and 53,068.50 is: 73,234.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,780.50 : 134,937.10 = 53,068.50 : x
  2. Step 2: Convert to fraction form
    97,780.50/134,937.10 = 53,068.50/x
  3. Step 3: Cross multiply
    97,780.50x = 134,937.10 × 53,068.50
  4. Step 4: Simplify right side
    97,780.50x = 7,160,909,491.35
  5. Step 5: Solve for x
    x = 7,160,909,491.35/97,780.50
  6. Step 6: Final answer
    x = 73,234.54

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.