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Finding the Fourth Proportional to 81,751.50, 122,560.47 and 42,319.98

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Solution

The fourth proportional to 81,751.50, 122,560.47 and 42,319.98 is: 63,445.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,751.50 : 122,560.47 = 42,319.98 : x
  2. Step 2: Convert to fraction form
    81,751.50/122,560.47 = 42,319.98/x
  3. Step 3: Cross multiply
    81,751.50x = 122,560.47 × 42,319.98
  4. Step 4: Simplify right side
    81,751.50x = 5,186,756,639.19
  5. Step 5: Solve for x
    x = 5,186,756,639.19/81,751.50
  6. Step 6: Final answer
    x = 63,445.40

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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.