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Finding the Fourth Proportional to 98,299.80, 147,433.50 and 42,148.98

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Solution

The fourth proportional to 98,299.80, 147,433.50 and 42,148.98 is: 63,216.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,299.80 : 147,433.50 = 42,148.98 : x
  2. Step 2: Convert to fraction form
    98,299.80/147,433.50 = 42,148.98/x
  3. Step 3: Cross multiply
    98,299.80x = 147,433.50 × 42,148.98
  4. Step 4: Simplify right side
    98,299.80x = 6,214,171,642.83
  5. Step 5: Solve for x
    x = 6,214,171,642.83/98,299.80
  6. Step 6: Final answer
    x = 63,216.52

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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.