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Finding the Fourth Proportional to 98,593.80, 147,890.70 and 64,768.20

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Solution

The fourth proportional to 98,593.80, 147,890.70 and 64,768.20 is: 97,152.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,593.80 : 147,890.70 = 64,768.20 : x
  2. Step 2: Convert to fraction form
    98,593.80/147,890.70 = 64,768.20/x
  3. Step 3: Cross multiply
    98,593.80x = 147,890.70 × 64,768.20
  4. Step 4: Simplify right side
    98,593.80x = 9,578,614,435.74
  5. Step 5: Solve for x
    x = 9,578,614,435.74/98,593.80
  6. Step 6: Final answer
    x = 97,152.30

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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.