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Finding the Fourth Proportional to 98,578.20, 147,867.30 and 78,895.20

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Solution

The fourth proportional to 98,578.20, 147,867.30 and 78,895.20 is: 118,342.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,578.20 : 147,867.30 = 78,895.20 : x
  2. Step 2: Convert to fraction form
    98,578.20/147,867.30 = 78,895.20/x
  3. Step 3: Cross multiply
    98,578.20x = 147,867.30 × 78,895.20
  4. Step 4: Simplify right side
    98,578.20x = 11,666,020,206.96
  5. Step 5: Solve for x
    x = 11,666,020,206.96/98,578.20
  6. Step 6: Final answer
    x = 118,342.80

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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.