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Finding the Fourth Proportional to 147,219.40, 220,829.10 and 99,980.20

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Solution

The fourth proportional to 147,219.40, 220,829.10 and 99,980.20 is: 149,970.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,219.40 : 220,829.10 = 99,980.20 : x
  2. Step 2: Convert to fraction form
    147,219.40/220,829.10 = 99,980.20/x
  3. Step 3: Cross multiply
    147,219.40x = 220,829.10 × 99,980.20
  4. Step 4: Simplify right side
    147,219.40x = 22,078,537,583.82
  5. Step 5: Solve for x
    x = 22,078,537,583.82/147,219.40
  6. Step 6: Final answer
    x = 149,970.30

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1.5x scale

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.