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Finding the Fourth Proportional to 142,091.80, 213,137.70 and 99,698.20

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Solution

The fourth proportional to 142,091.80, 213,137.70 and 99,698.20 is: 149,547.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,091.80 : 213,137.70 = 99,698.20 : x
  2. Step 2: Convert to fraction form
    142,091.80/213,137.70 = 99,698.20/x
  3. Step 3: Cross multiply
    142,091.80x = 213,137.70 × 99,698.20
  4. Step 4: Simplify right side
    142,091.80x = 21,249,445,042.14
  5. Step 5: Solve for x
    x = 21,249,445,042.14/142,091.80
  6. Step 6: Final answer
    x = 149,547.30

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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.