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Finding the Fourth Proportional to 99,570.40, 149,647.20 and 97,820.80

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Solution

The fourth proportional to 99,570.40, 149,647.20 and 97,820.80 is: 147,017.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,570.40 : 149,647.20 = 97,820.80 : x
  2. Step 2: Convert to fraction form
    99,570.40/149,647.20 = 97,820.80/x
  3. Step 3: Cross multiply
    99,570.40x = 149,647.20 × 97,820.80
  4. Step 4: Simplify right side
    99,570.40x = 14,638,608,821.76
  5. Step 5: Solve for x
    x = 14,638,608,821.76/99,570.40
  6. Step 6: Final answer
    x = 147,017.68

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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.